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164780292 = 223149157587
BaseRepresentation
bin10011101001001…
…01100100000100
3102111001201001210
421310211210010
5314140432132
624203451420
74040416005
oct1164454404
9374051053
10164780292
1185017966
1247226b70
13281a5541
1417c551ac
15e6edbcc
hex9d25904

164780292 has 48 divisors (see below), whose sum is σ = 390196800. Its totient is φ = 54118272.

The previous prime is 164780281. The next prime is 164780309. The reversal of 164780292 is 292087461.

It is a self number, because there is not a number n which added to its sum of digits gives 164780292.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 280423 + ... + 281009.

It is an arithmetic number, because the mean of its divisors is an integer number (8129100).

Almost surely, 2164780292 is an apocalyptic number.

164780292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164780292 is an abundant number, since it is smaller than the sum of its proper divisors (225416508).

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

164780292 is a wasteful number, since it uses less digits than its factorization.

164780292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 164780292 is about 12836.6776075432. The cubic root of 164780292 is about 548.2371014769.

The spelling of 164780292 in words is "one hundred sixty-four million, seven hundred eighty thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 12 149 157 298 314 447 471 587 596 628 894 942 1174 1761 1788 1884 2348 3522 7044 23393 46786 70179 87463 92159 93572 140358 174926 184318 262389 276477 280716 349852 368636 524778 552954 1049556 1105908 13731691 27463382 41195073 54926764 82390146 164780292