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478642472 = 237113072531
BaseRepresentation
bin11100100001111…
…000000100101000
31020100122120000222
4130201320010220
51440013024342
6115254545212
714601252050
oct3441700450
91210576028
10478642472
112261aa1a0
12114368208
1378217ac9
14477d6560
152c049ed2
hex1c878128

478642472 has 64 divisors (see below), whose sum is σ = 1122992640. Its totient is φ = 185803200.

The previous prime is 478642399. The next prime is 478642481. The reversal of 478642472 is 274246874.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 15 ways as a sum of consecutive naturals, for example, 187847 + ... + 190377.

It is an arithmetic number, because the mean of its divisors is an integer number (17546760).

Almost surely, 2478642472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478642472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561496320).

478642472 is an abundant number, since it is smaller than the sum of its proper divisors (644350168).

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

478642472 is a wasteful number, since it uses less digits than its factorization.

478642472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2862 (or 2858 counting only the distinct ones).

The product of its digits is 602112, while the sum is 44.

The square root of 478642472 is about 21877.8991678817. The cubic root of 478642472 is about 782.2347003875.

The spelling of 478642472 in words is "four hundred seventy-eight million, six hundred forty-two thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 307 308 614 616 1228 2149 2456 2531 3377 4298 5062 6754 8596 10124 13508 17192 17717 20248 23639 27016 27841 35434 47278 55682 70868 94556 111364 141736 189112 194887 222728 389774 777017 779548 1554034 1559096 3108068 5439119 6216136 8547187 10878238 17094374 21756476 34188748 43512952 59830309 68377496 119660618 239321236 478642472