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68152644 = 2233790149
BaseRepresentation
bin1000000111111…
…10110101000100
311202020111212000
410003332311010
5114421341034
610432425300
71455200520
oct403766504
9152214760
1068152644
113551a0aa
121a9a8230
1311172a11
1490a0d80
155eb3599
hex40fed44

68152644 has 48 divisors (see below), whose sum is σ = 201936000. Its totient is φ = 19471968.

The previous prime is 68152633. The next prime is 68152649. The reversal of 68152644 is 44625186.

68152644 is a `hidden beast` number, since 6 + 8 + 1 + 5 + 2 + 644 = 666.

It is a super-3 number, since 3×681526443 (a number of 24 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 68152599 and 68152608.

It is not an unprimeable number, because it can be changed into a prime (68152649) 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 15 ways as a sum of consecutive naturals, for example, 44319 + ... + 45830.

It is an arithmetic number, because the mean of its divisors is an integer number (4207000).

Almost surely, 268152644 is an apocalyptic number.

It is an amenable number.

68152644 is an abundant number, since it is smaller than the sum of its proper divisors (133783356).

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

68152644 is a wasteful number, since it uses less digits than its factorization.

68152644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90169 (or 90161 counting only the distinct ones).

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

The square root of 68152644 is about 8255.4614649939. The cubic root of 68152644 is about 408.4706937942.

The spelling of 68152644 in words is "sixty-eight million, one hundred fifty-two thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 90149 180298 270447 360596 540894 631043 811341 1081788 1262086 1622682 1893129 2434023 2524172 3245364 3786258 4868046 5679387 7572516 9736092 11358774 17038161 22717548 34076322 68152644