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81617472 = 2632141697
BaseRepresentation
bin1001101110101…
…10001001000000
312200120121010100
410313112021000
5131343224342
612033202400
72010510546
oct467261100
9180517110
1081617472
1142086462
1223400400
1313ba8681
14aba7d96
157272e4c
hex4dd6240

81617472 has 42 divisors (see below), whose sum is σ = 233943398. Its totient is φ = 27205632.

The previous prime is 81617467. The next prime is 81617477. The reversal of 81617472 is 27471618.

It is an interprime number because it is at equal distance from previous prime (81617467) and next prime (81617477).

It can be written as a sum of positive squares in only one way, i.e., 70963776 + 10653696 = 8424^2 + 3264^2 .

It is a super-2 number, since 2×816174722 = 13322823471341568, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (81617477) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 70273 + ... + 71424.

Almost surely, 281617472 is an apocalyptic number.

It is an amenable number.

81617472 is an abundant number, since it is smaller than the sum of its proper divisors (152325926).

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

81617472 is a wasteful number, since it uses less digits than its factorization.

81617472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141715 (or 141702 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 81617472 is about 9034.2388722017. The cubic root of 81617472 is about 433.7715320114.

The spelling of 81617472 in words is "eighty-one million, six hundred seventeen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 141697 283394 425091 566788 850182 1133576 1275273 1700364 2267152 2550546 3400728 4534304 5101092 6801456 9068608 10202184 13602912 20404368 27205824 40808736 81617472