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472615680 = 2835123077
BaseRepresentation
bin11100001010111…
…000101100000000
31012221022100211110
4130022320230000
51431442200210
6114521443320
714466111165
oct3412705400
91187270743
10472615680
11222863179
12112340540
1376bb7864
1446aa806c
152b759420
hex1c2b8b00

472615680 has 72 divisors (see below), whose sum is σ = 1509428592. Its totient is φ = 126029824.

The previous prime is 472615621. The next prime is 472615699. The reversal of 472615680 is 86516274.

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 7 ways as a sum of consecutive naturals, for example, 57699 + ... + 65378.

It is an arithmetic number, because the mean of its divisors is an integer number (20964286).

Almost surely, 2472615680 is an apocalyptic number.

472615680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

472615680 is an abundant number, since it is smaller than the sum of its proper divisors (1036812912).

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

472615680 is a wasteful number, since it uses less digits than its factorization.

472615680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123101 (or 123087 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 472615680 is about 21739.7258492374. The cubic root of 472615680 is about 778.9376728126.

The spelling of 472615680 in words is "four hundred seventy-two million, six hundred fifteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 123077 246154 369231 492308 615385 738462 984616 1230770 1476924 1846155 1969232 2461540 2953848 3692310 3938464 4923080 5907696 7384620 7876928 9846160 11815392 14769240 15753856 19692320 23630784 29538480 31507712 39384640 47261568 59076960 78769280 94523136 118153920 157538560 236307840 472615680