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472696560 = 24345717613
BaseRepresentation
bin11100001011001…
…100011011110000
31012221110110210000
4130023030123300
51432002242220
6114523310000
714466566040
oct3413143360
91187413700
10472696560
11222908a16
1211237b300
1376c1560b
1446ac9720
152b773390
hex1c2cc6f0

472696560 has 400 divisors, whose sum is σ = 1989890496. Its totient is φ = 101523456.

The previous prime is 472696547. The next prime is 472696583. The reversal of 472696560 is 65696274.

472696560 is a `hidden beast` number, since 472 + 69 + 65 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 770814 + ... + 771426.

Almost surely, 2472696560 is an apocalyptic number.

472696560 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 472696560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994945248).

472696560 is an abundant number, since it is smaller than the sum of its proper divisors (1517193936).

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

472696560 is a wasteful number, since it uses less digits than its factorization.

472696560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 472696560 is about 21741.5859587106. The cubic root of 472696560 is about 778.9821041819.

The spelling of 472696560 in words is "four hundred seventy-two million, six hundred ninety-six thousand, five hundred sixty".