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47234600448 = 293710741057
BaseRepresentation
bin101011111111011001…
…101100111000000000
311111220212020022121020
4223333121230320000
51233214024203243
633411013225440
73261342323250
oct537731547000
9144825208536
1047234600448
1119039778482
1291a2932280
1345b9b68729
142401355960
151366be2283
hexaff66ce00

47234600448 has 160 divisors (see below), whose sum is σ = 145160066304. Its totient is φ = 13369147392.

The previous prime is 47234600429. The next prime is 47234600449. The reversal of 47234600448 is 84400643274.

It is a happy number.

It is a super-2 number, since 2×472346004482 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47234600449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1129936 + ... + 1170992.

Almost surely, 247234600448 is an apocalyptic number.

47234600448 is a gapful number since it is divisible by the number (48) 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 47234600448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72580033152).

47234600448 is an abundant number, since it is smaller than the sum of its proper divisors (97925465856).

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

47234600448 is a wasteful number, since it uses less digits than its factorization.

47234600448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41192 (or 41176 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 42.

The spelling of 47234600448 in words is "forty-seven billion, two hundred thirty-four million, six hundred thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 107 112 128 168 192 214 224 256 321 336 384 428 448 512 642 672 749 768 856 896 1284 1344 1498 1536 1712 1792 2247 2568 2688 2996 3424 3584 4494 5136 5376 5992 6848 8988 10272 10752 11984 13696 17976 20544 23968 27392 35952 41057 41088 47936 54784 71904 82114 82176 95872 123171 143808 164228 164352 191744 246342 287399 287616 328456 383488 492684 574798 575232 656912 862197 985368 1149596 1150464 1313824 1724394 1970736 2299192 2627648 3448788 3941472 4393099 4598384 5255296 6897576 7882944 8786198 9196768 10510592 13179297 13795152 15765888 17572396 18393536 21021184 26358594 27590304 30751693 31531776 35144792 36787072 52717188 55180608 61503386 63063552 70289584 73574144 92255079 105434376 110361216 123006772 140579168 147148288 184510158 210868752 220722432 246013544 281158336 369020316 421737504 441444864 492027088 562316672 738040632 843475008 984054176 1124633344 1476081264 1686950016 1968108352 2249266688 2952162528 3373900032 3936216704 5904325056 6747800064 7872433408 11808650112 15744866816 23617300224 47234600448