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81119952 = 24324331301
BaseRepresentation
bin1001101010111…
…00101011010000
312122122022122200
410311130223100
5131231314302
612014403200
72003336214
oct465345320
9178568580
1081119952
1141876691
1223200500
1313a63094
14aab8944
1571c581c
hex4d5cad0

81119952 has 60 divisors (see below), whose sum is σ = 227722404. Its totient is φ = 26956800.

The previous prime is 81119939. The next prime is 81119953. The reversal of 81119952 is 25991118.

It can be written as a sum of positive squares in 2 ways, for example, as 2903616 + 78216336 = 1704^2 + 8844^2 .

It is a super-2 number, since 2×811199522 = 13160893224964608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81119953) 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 11 ways as a sum of consecutive naturals, for example, 61702 + ... + 63002.

Almost surely, 281119952 is an apocalyptic number.

It is an amenable number.

81119952 is an abundant number, since it is smaller than the sum of its proper divisors (146602452).

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

81119952 is a wasteful number, since it uses less digits than its factorization.

81119952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748 (or 1739 counting only the distinct ones).

The product of its digits is 6480, while the sum is 36.

The square root of 81119952 is about 9006.6615346642. The cubic root of 81119952 is about 432.8883468853. Note that the first 3 decimals are identical.

The spelling of 81119952 in words is "eighty-one million, one hundred nineteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 433 866 1299 1301 1732 2598 2602 3464 3897 3903 5196 5204 6928 7794 7806 10392 10408 11709 15588 15612 20784 20816 23418 31176 31224 46836 62352 62448 93672 187344 563333 1126666 1689999 2253332 3379998 4506664 5069997 6759996 9013328 10139994 13519992 20279988 27039984 40559976 81119952