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472364900 = 22527296401
BaseRepresentation
bin11100001001111…
…011011101100100
31012220211121211022
4130021323131210
51431411134100
6114512230312
714464015100
oct3411733544
91186747738
10472364900
11222701817
1211223b398
1376b2a677
1446a40900
152b709e85
hex1c27b764

472364900 has 54 divisors (see below), whose sum is σ = 1192396338. Its totient is φ = 161952000.

The previous prime is 472364857. The next prime is 472364929. The reversal of 472364900 is 9463274.

It can be written as a sum of positive squares in 3 ways, for example, as 6927424 + 465437476 = 2632^2 + 21574^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 43301 + ... + 53100.

Almost surely, 2472364900 is an apocalyptic number.

It is an amenable number.

472364900 is an abundant number, since it is smaller than the sum of its proper divisors (720031438).

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

472364900 is a wasteful number, since it uses less digits than its factorization.

472364900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96429 (or 96415 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 472364900 is about 21733.9573018813. The cubic root of 472364900 is about 778.7998747673.

The spelling of 472364900 in words is "four hundred seventy-two million, three hundred sixty-four thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 96401 192802 385604 482005 674807 964010 1349614 1928020 2410025 2699228 3374035 4723649 4820050 6748070 9447298 9640100 13496140 16870175 18894596 23618245 33740350 47236490 67480700 94472980 118091225 236182450 472364900