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164368428 = 22371999833
BaseRepresentation
bin10011100110000…
…01000000101100
3102110021210002120
421303001000230
5314034242203
624150552540
74034052150
oct1163010054
9373253076
10164368428
1184866484
1247068750
132808cc33
1417b89060
15e66bb53
hex9cc102c

164368428 has 48 divisors (see below), whose sum is σ = 440563200. Its totient is φ = 46721664.

The previous prime is 164368397. The next prime is 164368429. The reversal of 164368428 is 824863461.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 164368428.

It is not an unprimeable number, because it can be changed into a prime (164368429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11800 + ... + 21632.

It is an arithmetic number, because the mean of its divisors is an integer number (9178400).

Almost surely, 2164368428 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164368428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220281600).

164368428 is an abundant number, since it is smaller than the sum of its proper divisors (276194772).

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

164368428 is a wasteful number, since it uses less digits than its factorization.

164368428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10046 (or 10044 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 164368428 is about 12820.6251017647. The cubic root of 164368428 is about 547.7799523223.

The spelling of 164368428 in words is "one hundred sixty-four million, three hundred sixty-eight thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 199 398 597 796 1194 1393 2388 2786 4179 5572 8358 9833 16716 19666 29499 39332 58998 68831 117996 137662 206493 275324 412986 825972 1956767 3913534 5870301 7827068 11740602 13697369 23481204 27394738 41092107 54789476 82184214 164368428