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5424233904 = 243347463577
BaseRepresentation
bin1010000110100111…
…10011110110110000
3112000000122122002000
411003103303312300
542102100441104
62254124054000
7251263141005
oct50323636660
915000578060
105424233904
112333925241
121074694300
13685a0677b
143965738ac
1521b305639
hex1434f3db0

5424233904 has 160 divisors (see below), whose sum is σ = 15962787840. Its totient is φ = 1762725888.

The previous prime is 5424233849. The next prime is 5424233909. The reversal of 5424233904 is 4093324245.

5424233904 is a `hidden beast` number, since 542 + 4 + 23 + 3 + 90 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5424233909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9400464 + ... + 9401040.

It is an arithmetic number, because the mean of its divisors is an integer number (99767424).

Almost surely, 25424233904 is an apocalyptic number.

5424233904 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5424233904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7981393920).

5424233904 is an abundant number, since it is smaller than the sum of its proper divisors (10538553936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5424233904 is a wasteful number, since it uses less digits than its factorization.

5424233904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 5424233904 is about 73649.3985311489. The cubic root of 5424233904 is about 1757.0311846766.

The spelling of 5424233904 in words is "five billion, four hundred twenty-four million, two hundred thirty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 72 94 108 141 144 188 216 282 376 423 432 463 564 577 752 846 926 1128 1154 1269 1389 1692 1731 1852 2256 2308 2538 2778 3384 3462 3704 4167 4616 5076 5193 5556 6768 6924 7408 8334 9232 10152 10386 11112 12501 13848 15579 16668 20304 20772 21761 22224 25002 27119 27696 31158 33336 41544 43522 50004 54238 62316 65283 66672 81357 83088 87044 100008 108476 124632 130566 162714 174088 195849 200016 216952 244071 249264 261132 267151 325428 348176 391698 433904 488142 522264 534302 587547 650856 732213 783396 801453 976284 1044528 1068604 1175094 1301712 1464426 1566792 1602906 1952568 2137208 2350188 2404359 2928852 3133584 3205812 3905136 4274416 4700376 4808718 5857704 6411624 7213077 9400752 9617436 11715408 12556097 12823248 14426154 19234872 25112194 28852308 37668291 38469744 50224388 57704616 75336582 100448776 113004873 115409232 150673164 200897552 226009746 301346328 339014619 452019492 602692656 678029238 904038984 1356058476 1808077968 2712116952 5424233904