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474680256 = 26317236323
BaseRepresentation
bin11100010010110…
…000101111000000
31020002012020220020
4130102300233000
51433004232011
6115034013440
714522500311
oct3422605700
91202166806
10474680256
11223a43336
12112b77280
137745b4bb
1447084608
152ba16006
hex1c4b0bc0

474680256 has 112 divisors (see below), whose sum is σ = 1387839744. Its totient is φ = 142422016.

The previous prime is 474680231. The next prime is 474680293. The reversal of 474680256 is 652086474.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71911 + ... + 78233.

Almost surely, 2474680256 is an apocalyptic number.

474680256 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 474680256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693919872).

474680256 is an abundant number, since it is smaller than the sum of its proper divisors (913159488).

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

474680256 is a wasteful number, since it uses less digits than its factorization.

474680256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6378 (or 6368 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 474680256 is about 21787.1580523941. The cubic root of 474680256 is about 780.0702632299.

The spelling of 474680256 in words is "four hundred seventy-four million, six hundred eighty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 32 34 46 48 51 64 68 69 92 96 102 136 138 184 192 204 272 276 368 391 408 544 552 736 782 816 1088 1104 1173 1472 1564 1632 2208 2346 3128 3264 4416 4692 6256 6323 9384 12512 12646 18768 18969 25024 25292 37536 37938 50584 75072 75876 101168 107491 145429 151752 202336 214982 290858 303504 322473 404672 429964 436287 581716 607008 644946 859928 872574 1163432 1214016 1289892 1719856 1745148 2326864 2472293 2579784 3439712 3490296 4653728 4944586 5159568 6879424 6980592 7416879 9307456 9889172 10319136 13961184 14833758 19778344 20638272 27922368 29667516 39556688 59335032 79113376 118670064 158226752 237340128 474680256