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474511072 = 257173532
BaseRepresentation
bin11100010010000…
…111011011100000
31020001212122211011
4130102013123200
51432433323242
6115030230304
714521164130
oct3422073340
91201778734
10474511072
11223938212
12112ab5394
13773cc4a9
144703cac0
152b9d0d17
hex1c4876e0

474511072 has 72 divisors (see below), whose sum is σ = 1133664336. Its totient is φ = 190857216.

The previous prime is 474511043. The next prime is 474511087. The reversal of 474511072 is 270115474.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1344048 + ... + 1344400.

It is an arithmetic number, because the mean of its divisors is an integer number (15745338).

Almost surely, 2474511072 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 474511072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566832168).

474511072 is an abundant number, since it is smaller than the sum of its proper divisors (659153264).

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

474511072 is an equidigital number, since it uses as much as digits as its factorization.

474511072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 31.

The square root of 474511072 is about 21783.2750522046. The cubic root of 474511072 is about 779.9775755114.

The spelling of 474511072 in words is "four hundred seventy-four million, five hundred eleven thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 353 476 544 706 952 1412 1904 2471 2824 3808 4942 5648 6001 9884 11296 12002 19768 24004 39536 42007 48008 79072 84014 96016 124609 168028 192032 249218 336056 498436 672112 872263 996872 1344224 1744526 1993744 2118353 3489052 3987488 4236706 6978104 8473412 13956208 14828471 16946824 27912416 29656942 33893648 59313884 67787296 118627768 237255536 474511072