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164474000 = 245382237
BaseRepresentation
bin10011100110110…
…10110010010000
3102110111010220122
421303122302100
5314101132000
624153125412
74035002015
oct1163326220
9373433818
10164474000
1184928829
12470b9868
13280c8cc2
1417bb570c
15e68d085
hex9cdac90

164474000 has 40 divisors (see below), whose sum is σ = 397702968. Its totient is φ = 65788800.

The previous prime is 164473987. The next prime is 164474027. The reversal of 164474000 is 474461.

It can be written as a sum of positive squares in 4 ways, for example, as 1860496 + 162613504 = 1364^2 + 12752^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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, 39119 + ... + 43118.

Almost surely, 2164474000 is an apocalyptic number.

164474000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164474000 is an abundant number, since it is smaller than the sum of its proper divisors (233228968).

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

164474000 is an equidigital number, since it uses as much as digits as its factorization.

164474000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82260 (or 82244 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 164474000 is about 12824.7417127987. The cubic root of 164474000 is about 547.8972048648.

The spelling of 164474000 in words is "one hundred sixty-four million, four hundred seventy-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 82237 164474 328948 411185 657896 822370 1315792 1644740 2055925 3289480 4111850 6578960 8223700 10279625 16447400 20559250 32894800 41118500 82237000 164474000