Search a number
-
+
5096498256 = 2432199293607
BaseRepresentation
bin1001011111100011…
…00110010001010000
3111011011221221021200
410233301212101100
540414200421011
62201415351200
7240203343333
oct45761462120
914134857250
105096498256
112185927633
12ba2982500
13632b47555
14364c2061a
151ec668856
hex12fc66450

5096498256 has 120 divisors (see below), whose sum is σ = 14407411200. Its totient is φ = 1681751808.

The previous prime is 5096498237. The next prime is 5096498257. The reversal of 5096498256 is 6528946905.

It is a happy number.

5096498256 is a `hidden beast` number, since 509 + 6 + 4 + 9 + 82 + 56 = 666.

It is a super-2 number, since 2×50964982562 = 51948588946822083072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5096498257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8395905 + ... + 8396511.

It is an arithmetic number, because the mean of its divisors is an integer number (120061760).

Almost surely, 25096498256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5096498256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7203705600).

5096498256 is an abundant number, since it is smaller than the sum of its proper divisors (9310912944).

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

5096498256 is a wasteful number, since it uses less digits than its factorization.

5096498256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The square root of 5096498256 is about 71389.7629636070. The cubic root of 5096498256 is about 1720.9065727403.

The spelling of 5096498256 in words is "five billion, ninety-six million, four hundred ninety-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 199 293 398 586 597 607 796 879 1172 1194 1214 1592 1758 1791 1821 2344 2388 2428 2637 3184 3516 3582 3642 4688 4776 4856 5274 5463 7032 7164 7284 9552 9712 10548 10926 14064 14328 14568 21096 21852 28656 29136 42192 43704 58307 87408 116614 120793 174921 177851 233228 241586 349842 355702 362379 466456 483172 524763 533553 699684 711404 724758 932912 966344 1049526 1067106 1087137 1399368 1422808 1449516 1600659 1932688 2099052 2134212 2174274 2798736 2845616 2899032 3201318 4198104 4268424 4348548 5798064 6402636 8396208 8536848 8697096 12805272 17394192 25610544 35392349 70784698 106177047 141569396 212354094 283138792 318531141 424708188 566277584 637062282 849416376 1274124564 1698832752 2548249128 5096498256