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5305176492 = 22372111375987
BaseRepresentation
bin1001111000011011…
…01001000110101100
3111200201121220000020
410330031221012230
541331111121432
62234232202140
7245316153600
oct47415510654
914621556006
105305176492
1122826a7690
121040839350
1366714c8b5
14384821500
15210b3922c
hex13c3691ac

5305176492 has 144 divisors (see below), whose sum is σ = 15826140288. Its totient is φ = 1367681280.

The previous prime is 5305176421. The next prime is 5305176493. The reversal of 5305176492 is 2946715035.

It is a super-2 number, since 2×53051764922 = 56289795222538852128, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5305176493) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 883123 + ... + 889109.

It is an arithmetic number, because the mean of its divisors is an integer number (109903752).

Almost surely, 25305176492 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 5305176492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7913070144).

5305176492 is an abundant number, since it is smaller than the sum of its proper divisors (10520963796).

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

5305176492 is a wasteful number, since it uses less digits than its factorization.

5305176492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6156 (or 6147 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 5305176492 is about 72836.6425091108. The cubic root of 5305176492 is about 1744.0808444378.

The spelling of 5305176492 in words is "five billion, three hundred five million, one hundred seventy-six thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 137 147 154 196 231 274 294 308 411 462 539 548 588 822 924 959 1078 1507 1617 1644 1918 2156 2877 3014 3234 3836 4521 5754 5987 6028 6468 6713 9042 10549 11508 11974 13426 17961 18084 20139 21098 23948 26852 31647 35922 40278 41909 42196 63294 65857 71844 73843 80556 83818 125727 126588 131714 147686 167636 197571 221529 251454 263428 293363 295372 395142 443058 460999 502908 586726 790284 820219 880089 886116 921998 1173452 1382997 1640438 1760178 1843996 2460657 2765994 3226993 3280876 3520356 4921314 5531988 5741533 6453986 9022409 9680979 9842628 11483066 12907972 17224599 18044818 19361958 22966132 27067227 34449198 36089636 38723916 40190731 54134454 63156863 68898396 80381462 108268908 120572193 126313726 160762924 189470589 241144386 252627452 378941178 442098041 482288772 757882356 884196082 1326294123 1768392164 2652588246 5305176492