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164685472 = 2572127827
BaseRepresentation
bin10011101000011…
…10011010100000
3102110212212222221
421310032122200
5314124413342
624201440424
74036542400
oct1164163240
9373785887
10164685472
1184a626a6
12471a0114
1328171333
1417c2c800
15e6d0a67
hex9d0e6a0

164685472 has 72 divisors (see below), whose sum is σ = 380588544. Its totient is φ = 69939072.

The previous prime is 164685467. The next prime is 164685481. The reversal of 164685472 is 274586461.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198723 + ... + 199549.

It is an arithmetic number, because the mean of its divisors is an integer number (5285952).

Almost surely, 2164685472 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 164685472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190294272).

164685472 is an abundant number, since it is smaller than the sum of its proper divisors (215903072).

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

164685472 is a wasteful number, since it uses less digits than its factorization.

164685472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 963 counting only the distinct ones).

The product of its digits is 322560, while the sum is 43.

The square root of 164685472 is about 12832.9837528145. The cubic root of 164685472 is about 548.1319234130.

The spelling of 164685472 in words is "one hundred sixty-four million, six hundred eighty-five thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 127 196 224 254 392 508 784 827 889 1016 1568 1654 1778 2032 3308 3556 4064 5789 6223 6616 7112 11578 12446 13232 14224 23156 24892 26464 28448 40523 46312 49784 81046 92624 99568 105029 162092 185248 199136 210058 324184 420116 648368 735203 840232 1296736 1470406 1680464 2940812 3360928 5146421 5881624 10292842 11763248 20585684 23526496 41171368 82342736 164685472