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166427604 = 223272712437
BaseRepresentation
bin10011110101101…
…11101111010100
3102121011101202100
421322313233110
5320101140404
624303042100
74060416450
oct1172675724
9377141670
10166427604
1185a42582
12478a0330
1328631295
1418163660
15e926d39
hex9eb7bd4

166427604 has 72 divisors (see below), whose sum is σ = 482763008. Its totient is φ = 47355840.

The previous prime is 166427543. The next prime is 166427627. The reversal of 166427604 is 406724661.

166427604 is a `hidden beast` number, since 1 + 6 + 6 + 42 + 7 + 604 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67074 + ... + 69510.

Almost surely, 2166427604 is an apocalyptic number.

166427604 is a gapful number since it is divisible by the number (14) 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 166427604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241381504).

166427604 is an abundant number, since it is smaller than the sum of its proper divisors (316335404).

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

166427604 is a wasteful number, since it uses less digits than its factorization.

166427604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2725 (or 2720 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 166427604 is about 12900.6823075371. The cubic root of 166427604 is about 550.0579597321.

The spelling of 166427604 in words is "one hundred sixty-six million, four hundred twenty-seven thousand, six hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 271 542 813 1084 1626 1897 2437 2439 3252 3794 4874 4878 5691 7311 7588 9748 9756 11382 14622 17059 17073 21933 22764 29244 34118 34146 43866 51177 68236 68292 87732 102354 153531 204708 307062 614124 660427 1320854 1981281 2641708 3962562 4622989 5943843 7925124 9245978 11887686 13868967 18491956 23775372 27737934 41606901 55475868 83213802 166427604