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166433952 = 2538092143
BaseRepresentation
bin10011110101110…
…01010010100000
3102121011201110110
421322321102200
5320101341302
624303131320
74060444116
oct1172712240
9377151413
10166433952
1185a47323
12478a3b40
1328634139
1418165ab6
15e928b6c
hex9eb94a0

166433952 has 48 divisors (see below), whose sum is σ = 437633280. Its totient is φ = 55383552.

The previous prime is 166433879. The next prime is 166433959. The reversal of 166433952 is 259334661.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 166433952.

It is not an unprimeable number, because it can be changed into a prime (166433959) 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 7 ways as a sum of consecutive naturals, for example, 76593 + ... + 78735.

It is an arithmetic number, because the mean of its divisors is an integer number (9117360).

Almost surely, 2166433952 is an apocalyptic number.

166433952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

166433952 is an abundant number, since it is smaller than the sum of its proper divisors (271199328).

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

166433952 is a wasteful number, since it uses less digits than its factorization.

166433952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2965 (or 2957 counting only the distinct ones).

The product of its digits is 116640, while the sum is 39.

The square root of 166433952 is about 12900.9283386894. The cubic root of 166433952 is about 550.0649532105.

The spelling of 166433952 in words is "one hundred sixty-six million, four hundred thirty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 809 1618 2143 2427 3236 4286 4854 6429 6472 8572 9708 12858 12944 17144 19416 25716 25888 34288 38832 51432 68576 77664 102864 205728 1733687 3467374 5201061 6934748 10402122 13869496 20804244 27738992 41608488 55477984 83216976 166433952