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164150496 = 2533189989
BaseRepresentation
bin10011100100010…
…11110011100000
3102102212201011000
421302023303200
5314010303441
624142152000
74032153606
oct1162136340
9372781130
10164150496
1184727774
1246b82600
1328014993
1417b2d876
15e6272b6
hex9c8bce0

164150496 has 48 divisors (see below), whose sum is σ = 478774800. Its totient is φ = 54716544.

The previous prime is 164150491. The next prime is 164150533. The reversal of 164150496 is 694051461.

164150496 is a `hidden beast` number, since 1 + 64 + 1 + 504 + 96 = 666.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 164150496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164150491) 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, 94131 + ... + 95858.

It is an arithmetic number, because the mean of its divisors is an integer number (9974475).

Almost surely, 2164150496 is an apocalyptic number.

164150496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

164150496 is an abundant number, since it is smaller than the sum of its proper divisors (314624304).

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

164150496 is a wasteful number, since it uses less digits than its factorization.

164150496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190008 (or 189994 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 164150496 is about 12812.1230090879. The cubic root of 164150496 is about 547.5377493206.

The spelling of 164150496 in words is "one hundred sixty-four million, one hundred fifty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 189989 379978 569967 759956 1139934 1519912 1709901 2279868 3039824 3419802 4559736 5129703 6079648 6839604 9119472 10259406 13679208 18238944 20518812 27358416 41037624 54716832 82075248 164150496