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475247824 = 242910110141
BaseRepresentation
bin11100010100111…
…011010011010000
31020010021002110021
4130110323103100
51433130412244
6115054113224
714530353112
oct3424732320
91203232407
10475247824
112242a07a7
121131ab814
13775c993c
14471913b2
152bac9284
hex1c53b4d0

475247824 has 40 divisors (see below), whose sum is σ = 962070120. Its totient is φ = 227136000.

The previous prime is 475247821. The next prime is 475247837. The reversal of 475247824 is 428742574.

It can be written as a sum of positive squares in 4 ways, for example, as 119246400 + 356001424 = 10920^2 + 18868^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475247821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41794 + ... + 51934.

It is an arithmetic number, because the mean of its divisors is an integer number (24051753).

Almost surely, 2475247824 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 475247824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481035060).

475247824 is an abundant number, since it is smaller than the sum of its proper divisors (486822296).

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

475247824 is a wasteful number, since it uses less digits than its factorization.

475247824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10279 (or 10273 counting only the distinct ones).

The product of its digits is 501760, while the sum is 43.

The square root of 475247824 is about 21800.1794488027. The cubic root of 475247824 is about 780.3810454673.

The spelling of 475247824 in words is "four hundred seventy-five million, two hundred forty-seven thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 29 58 101 116 202 232 404 464 808 1616 2929 5858 10141 11716 20282 23432 40564 46864 81128 162256 294089 588178 1024241 1176356 2048482 2352712 4096964 4705424 8193928 16387856 29702989 59405978 118811956 237623912 475247824