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474016752 = 243311234337
BaseRepresentation
bin11100010000001…
…110101111110000
31020000221112202000
4130100032233300
51432322014002
6115011454000
714514035016
oct3420165760
91200845660
10474016752
1122362a890
121128b7300
13772884b1
1446d508b6
152b93461c
hex1c40ebf0

474016752 has 160 divisors (see below), whose sum is σ = 1549186560. Its totient is φ = 137364480.

The previous prime is 474016747. The next prime is 474016799. The reversal of 474016752 is 257610474.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107128 + ... + 111464.

It is an arithmetic number, because the mean of its divisors is an integer number (9682416).

Almost surely, 2474016752 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 474016752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774593280).

474016752 is an abundant number, since it is smaller than the sum of its proper divisors (1075169808).

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

474016752 is a wasteful number, since it uses less digits than its factorization.

474016752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4388 (or 4376 counting only the distinct ones).

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

The square root of 474016752 is about 21771.9257760998. The cubic root of 474016752 is about 779.7066352389.

The spelling of 474016752 in words is "four hundred seventy-four million, sixteen thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 23 24 27 33 36 44 46 48 54 66 69 72 88 92 99 108 132 138 144 176 184 198 207 216 253 264 276 297 368 396 414 432 506 528 552 594 621 759 792 828 1012 1104 1188 1242 1518 1584 1656 2024 2277 2376 2484 3036 3312 4048 4337 4554 4752 4968 6072 6831 8674 9108 9936 12144 13011 13662 17348 18216 26022 27324 34696 36432 39033 47707 52044 54648 69392 78066 95414 99751 104088 109296 117099 143121 156132 190828 199502 208176 234198 286242 299253 312264 381656 399004 429363 468396 572484 598506 624528 763312 798008 858726 897759 936792 1097261 1144968 1197012 1288089 1596016 1717452 1795518 1873584 2194522 2289936 2394024 2576178 2693277 3291783 3434904 3591036 4389044 4788048 5152356 5386554 6583566 6869808 7182072 8778088 9875349 10304712 10773108 13167132 14364144 17556176 19750698 20609424 21546216 26334264 29626047 39501396 43092432 52668528 59252094 79002792 118504188 158005584 237008376 474016752