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474560712 = 2332171093557
BaseRepresentation
bin11100010010010…
…011100011001000
31020001222011220200
4130102103203020
51432441420322
6115031252200
714521461633
oct3422234310
91201864820
10474560712
1122397153a
12112b1a060
1377418c72
1447052c1a
152b9e08ac
hex1c4938c8

474560712 has 96 divisors (see below), whose sum is σ = 1373743800. Its totient is φ = 147474432.

The previous prime is 474560711. The next prime is 474560743. The reversal of 474560712 is 217065474.

474560712 is a `hidden beast` number, since 4 + 7 + 45 + 607 + 1 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 416404836 + 58155876 = 20406^2 + 7626^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (474560711) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131638 + ... + 135194.

Almost surely, 2474560712 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 474560712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686871900).

474560712 is an abundant number, since it is smaller than the sum of its proper divisors (899183088).

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

474560712 is a wasteful number, since it uses less digits than its factorization.

474560712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3695 (or 3688 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 474560712 is about 21784.4144286690. The cubic root of 474560712 is about 780.0047731463.

The spelling of 474560712 in words is "four hundred seventy-four million, five hundred sixty thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 109 136 153 204 218 306 327 408 436 612 654 872 981 1224 1308 1853 1962 2616 3557 3706 3924 5559 7114 7412 7848 10671 11118 14228 14824 16677 21342 22236 28456 32013 33354 42684 44472 60469 64026 66708 85368 120938 128052 133416 181407 241876 256104 362814 387713 483752 544221 725628 775426 1088442 1163139 1451256 1550852 2176884 2326278 3101704 3489417 4353768 4652556 6591121 6978834 9305112 13182242 13957668 19773363 26364484 27915336 39546726 52728968 59320089 79093452 118640178 158186904 237280356 474560712