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472039680 = 28357171033
BaseRepresentation
bin11100001000101…
…100000100000000
31012220020002201010
4130020230010000
51431320232210
6114501240520
714461161660
oct3410540400
91186202633
10472039680
112224aa442
12112103140
1376a45628
14469981a0
152b693920
hex1c22c100

472039680 has 288 divisors, whose sum is σ = 1826060544. Its totient is φ = 101449728.

The previous prime is 472039679. The next prime is 472039693. The reversal of 472039680 is 86930274.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 456444 + ... + 457476.

It is an arithmetic number, because the mean of its divisors is an integer number (6340488).

Almost surely, 2472039680 is an apocalyptic number.

472039680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472039680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913030272).

472039680 is an abundant number, since it is smaller than the sum of its proper divisors (1354020864).

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

472039680 is a wasteful number, since it uses less digits than its factorization.

472039680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 472039680 is about 21726.4741732293. The cubic root of 472039680 is about 778.6211009387.

The spelling of 472039680 in words is "four hundred seventy-two million, thirty-nine thousand, six hundred eighty".