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5047928256 = 2637376651
BaseRepresentation
bin1001011001110000…
…10100010111000000
3111000210120022202210
410230320110113000
540314232201011
62152522342120
7236043453000
oct45470242700
914023508683
105047928256
112160473238
12b8a65a940
13625a6ccc7
1435c5ba000
151e82726a6
hex12ce145c0

5047928256 has 112 divisors (see below), whose sum is σ = 15575686400. Its totient is φ = 1442246400.

The previous prime is 5047928233. The next prime is 5047928257. The reversal of 5047928256 is 6528297405.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5047928257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27531 + ... + 104181.

Almost surely, 25047928256 is an apocalyptic number.

5047928256 is a gapful number since it is divisible by the number (56) 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 5047928256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7787843200).

5047928256 is an abundant number, since it is smaller than the sum of its proper divisors (10527758144).

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

5047928256 is an equidigital number, since it uses as much as digits as its factorization.

5047928256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76687 (or 76663 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The square root of 5047928256 is about 71048.7737825221. The cubic root of 5047928256 is about 1715.4223255354.

The spelling of 5047928256 in words is "five billion, forty-seven million, nine hundred twenty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 343 392 448 588 672 686 784 1029 1176 1344 1372 1568 2058 2352 2744 3136 4116 4704 5488 8232 9408 10976 16464 21952 32928 65856 76651 153302 229953 306604 459906 536557 613208 919812 1073114 1226416 1609671 1839624 2146228 2452832 3219342 3679248 3755899 4292456 4905664 6438684 7358496 7511798 8584912 11267697 12877368 14716992 15023596 17169824 22535394 25754736 26291293 30047192 34339648 45070788 51509472 52582586 60094384 78873879 90141576 103018944 105165172 120188768 157747758 180283152 210330344 240377536 315495516 360566304 420660688 630991032 721132608 841321376 1261982064 1682642752 2523964128 5047928256