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475268274 = 2321323233379
BaseRepresentation
bin11100010101000…
…000010010110010
31020010022010111200
4130111000102302
51433132041044
6115054352030
714530466535
oct3425002262
91203263450
10475268274
112243050a8
121131bb616
1377606040
1447198a1c
152bad0369
hex1c5404b2

475268274 has 96 divisors (see below), whose sum is σ = 1165207680. Its totient is φ = 138910464.

The previous prime is 475268267. The next prime is 475268279. The reversal of 475268274 is 472862574.

It is a happy number.

475268274 is a `hidden beast` number, since 47 + 526 + 82 + 7 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (475268279) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1253817 + ... + 1254195.

It is an arithmetic number, because the mean of its divisors is an integer number (12137580).

Almost surely, 2475268274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 475268274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582603840).

475268274 is an abundant number, since it is smaller than the sum of its proper divisors (689939406).

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

475268274 is a wasteful number, since it uses less digits than its factorization.

475268274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 653 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The square root of 475268274 is about 21800.6484765935. The cubic root of 475268274 is about 780.3922386193.

The spelling of 475268274 in words is "four hundred seventy-five million, two hundred sixty-eight thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 13 18 23 26 39 46 69 78 117 138 207 233 234 299 379 414 466 598 699 758 897 1137 1398 1794 2097 2274 2691 3029 3411 4194 4927 5359 5382 6058 6822 8717 9087 9854 10718 14781 16077 17434 18174 26151 27261 29562 32154 44343 48231 52302 54522 69667 78453 88307 88686 96462 113321 139334 156906 176614 209001 226642 264921 339963 418002 529842 627003 679926 794763 1019889 1147991 1254006 1589526 2031061 2039778 2295982 3443973 4062122 6093183 6887946 10331919 12186366 18279549 20663838 26403793 36559098 52807586 79211379 158422758 237634137 475268274