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1881325056 = 29313711327
BaseRepresentation
bin111000000100010…
…1011111000000000
311212010001012210210
41300020223320000
512323104400211
6510403154120
764422666462
oct16010537000
94763035723
101881325056
11885a603a6
12446075940
1323c9c55c0
1413bc06132
15b026e9a6
hex7022be00

1881325056 has 160 divisors (see below), whose sum is σ = 5477649408. Its totient is φ = 570286080.

The previous prime is 1881325049. The next prime is 1881325097. The reversal of 1881325056 is 6505231881.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1417065 + ... + 1418391.

Almost surely, 21881325056 is an apocalyptic number.

1881325056 is a gapful number since it is divisible by the number (16) 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 1881325056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2738824704).

1881325056 is an abundant number, since it is smaller than the sum of its proper divisors (3596324352).

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

1881325056 is a wasteful number, since it uses less digits than its factorization.

1881325056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 1881325056 is about 43374.2441547977. The cubic root of 1881325056 is about 1234.4910524534.

The spelling of 1881325056 in words is "one billion, eight hundred eighty-one million, three hundred twenty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 71 78 96 104 128 142 156 192 208 213 256 284 312 384 416 426 512 568 624 768 832 852 923 1136 1248 1327 1536 1664 1704 1846 2272 2496 2654 2769 3328 3408 3692 3981 4544 4992 5308 5538 6656 6816 7384 7962 9088 9984 10616 11076 13632 14768 15924 17251 18176 19968 21232 22152 27264 29536 31848 34502 36352 42464 44304 51753 54528 59072 63696 69004 84928 88608 94217 103506 109056 118144 127392 138008 169856 177216 188434 207012 236288 254784 276016 282651 339712 354432 376868 414024 472576 509568 552032 565302 679424 708864 753736 828048 1019136 1104064 1130604 1224821 1417728 1507472 1656096 2038272 2208128 2261208 2449642 3014944 3312192 3674463 4416256 4522416 4899284 6029888 6624384 7348926 8832512 9044832 9798568 12059776 13248768 14697852 18089664 19597136 24119552 26497536 29395704 36179328 39194272 48239104 58791408 72358656 78388544 117582816 144717312 156777088 235165632 313554176 470331264 627108352 940662528 1881325056