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427725984 = 25371737441
BaseRepresentation
bin11001011111101…
…001010010100000
31002210211201202010
4121133221102200
51333444212414
6110235352520
713412416350
oct3137512240
91083751663
10427725984
111aa492954
12bb2b2740
136a7cb4ca
1440b40b60
152783d959
hex197e94a0

427725984 has 96 divisors (see below), whose sum is σ = 1358695296. Its totient is φ = 115015680.

The previous prime is 427725983. The next prime is 427725989. The reversal of 427725984 is 489527724.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (427725983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7297 + ... + 30144.

It is an arithmetic number, because the mean of its divisors is an integer number (14153076).

Almost surely, 2427725984 is an apocalyptic number.

It is an amenable number.

427725984 is an abundant number, since it is smaller than the sum of its proper divisors (930969312).

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

427725984 is a wasteful number, since it uses less digits than its factorization.

427725984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37478 (or 37470 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 48.

The square root of 427725984 is about 20681.5372736168. The cubic root of 427725984 is about 753.4513430568.

The spelling of 427725984 in words is "four hundred twenty-seven million, seven hundred twenty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 1428 1632 1904 2856 3808 5712 11424 37441 74882 112323 149764 224646 262087 299528 449292 524174 599056 636497 786261 898584 1048348 1198112 1272994 1572522 1797168 1909491 2096696 2545988 3145044 3594336 3818982 4193392 4455479 5091976 6290088 7637964 8386784 8910958 10183952 12580176 13366437 15275928 17821916 20367904 25160352 26732874 30551856 35643832 53465748 61103712 71287664 106931496 142575328 213862992 427725984