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470293992 = 23337311041
BaseRepresentation
bin11100000010000…
…001110111101000
31012202221102002000
4130002001313220
51430343401432
6114400011000
714440301340
oct3402016750
91182842060
10470293992
11221517923
12111600a60
1376583b8c
1446661d20
152b44b57c
hex1c081de8

470293992 has 64 divisors (see below), whose sum is σ = 1493001600. Its totient is φ = 134369280.

The previous prime is 470293981. The next prime is 470294009. The reversal of 470293992 is 299392074.

470293992 is a `hidden beast` number, since 470 + 2 + 93 + 9 + 92 = 666.

It is a super-2 number, since 2×4702939922 = 442352877822592128, which contains 22 as substring.

It is a zygodrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154009 + ... + 157032.

It is an arithmetic number, because the mean of its divisors is an integer number (23328150).

Almost surely, 2470293992 is an apocalyptic number.

470293992 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

470293992 is an abundant number, since it is smaller than the sum of its proper divisors (1022707608).

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

470293992 is a wasteful number, since it uses less digits than its factorization.

470293992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311063 (or 311053 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 470293992 is about 21686.2627485697. The cubic root of 470293992 is about 777.6600881398.

The spelling of 470293992 in words is "four hundred seventy million, two hundred ninety-three thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 311041 622082 933123 1244164 1866246 2177287 2488328 2799369 3732492 4354574 5598738 6531861 7464984 8398107 8709148 11197476 13063722 16796214 17418296 19595583 22394952 26127444 33592428 39191166 52254888 58786749 67184856 78382332 117573498 156764664 235146996 470293992