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472520900 = 225241115249
BaseRepresentation
bin11100001010100…
…001100011000100
31012221010112211002
4130022201203010
51431431132100
6114515432432
714465234645
oct3412414304
91187115732
10472520900
112227a8a45
121122b5718
1376b83687
1446a816cc
152b73b2d5
hex1c2a18c4

472520900 has 36 divisors (see below), whose sum is σ = 1050388500. Its totient is φ = 184396800.

The previous prime is 472520891. The next prime is 472520957. The reversal of 472520900 is 9025274.

It can be written as a sum of positive squares in 6 ways, for example, as 128640964 + 343879936 = 11342^2 + 18544^2 .

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 11 ways as a sum of consecutive naturals, for example, 53525 + ... + 61724.

Almost surely, 2472520900 is an apocalyptic number.

It is an amenable number.

472520900 is an abundant number, since it is smaller than the sum of its proper divisors (577867600).

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

472520900 is a wasteful number, since it uses less digits than its factorization.

472520900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115304 (or 115297 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 472520900 is about 21737.5458596411. The cubic root of 472520900 is about 778.8855990371.

The spelling of 472520900 in words is "four hundred seventy-two million, five hundred twenty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 115249 230498 460996 576245 1152490 2304980 2881225 4725209 5762450 9450418 11524900 18900836 23626045 47252090 94504180 118130225 236260450 472520900