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81664452 = 22324015657
BaseRepresentation
bin1001101111000…
…01100111000100
312200122222120100
410313201213010
5131401230302
612034204100
72011064532
oct467414704
9180588510
1081664452
1142108791
1223423630
1313bc3b7c
14abbb152
157281d1c
hex4de19c4

81664452 has 36 divisors (see below), whose sum is σ = 206980956. Its totient is φ = 27148800.

The previous prime is 81664441. The next prime is 81664463. The reversal of 81664452 is 25446618.

81664452 is a `hidden beast` number, since 8 + 1 + 6 + 644 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (81664441) and next prime (81664463).

It can be written as a sum of positive squares in 2 ways, for example, as 49787136 + 31877316 = 7056^2 + 5646^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

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, 11608 + ... + 17264.

It is an arithmetic number, because the mean of its divisors is an integer number (5749471).

Almost surely, 281664452 is an apocalyptic number.

It is an amenable number.

81664452 is an abundant number, since it is smaller than the sum of its proper divisors (125316504).

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

81664452 is a wasteful number, since it uses less digits than its factorization.

81664452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6068 (or 6063 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 81664452 is about 9036.8386065039. The cubic root of 81664452 is about 433.8547440871.

The spelling of 81664452 in words is "eighty-one million, six hundred sixty-four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 401 802 1203 1604 2406 3609 4812 5657 7218 11314 14436 16971 22628 33942 50913 67884 101826 203652 2268457 4536914 6805371 9073828 13610742 20416113 27221484 40832226 81664452