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427522860 = 22345318513
BaseRepresentation
bin11001011110110…
…111101100101100
31002210110102010000
4121132313230230
51333421212420
6110231144300
713410612222
oct3136675454
91083412100
10427522860
111aa364286
12bb215090
136a759c0b
1440acab12
15277ed690
hex197b7b2c

427522860 has 120 divisors (see below), whose sum is σ = 1384580736. Its totient is φ = 110315520.

The previous prime is 427522859. The next prime is 427522861. The reversal of 427522860 is 68225724.

427522860 is a `hidden beast` number, since 427 + 5 + 228 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (427522859) and next prime (427522861).

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

It is not an unprimeable number, because it can be changed into a prime (427522861) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 45964 + ... + 54476.

Almost surely, 2427522860 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 427522860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692290368).

427522860 is an abundant number, since it is smaller than the sum of its proper divisors (957057876).

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

427522860 is a wasteful number, since it uses less digits than its factorization.

427522860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8565 (or 8554 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 427522860 is about 20676.6259336479. The cubic root of 427522860 is about 753.3320546267.

The spelling of 427522860 in words is "four hundred twenty-seven million, five hundred twenty-two thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 81 90 93 108 124 135 155 162 180 186 270 279 310 324 372 405 465 540 558 620 810 837 930 1116 1395 1620 1674 1860 2511 2790 3348 4185 5022 5580 8370 8513 10044 12555 16740 17026 25110 25539 34052 42565 50220 51078 76617 85130 102156 127695 153234 170260 229851 255390 263903 306468 383085 459702 510780 527806 689553 766170 791709 919404 1055612 1149255 1319515 1379106 1532340 1583418 2298510 2375127 2639030 2758212 3166836 3447765 3958545 4597020 4750254 5278060 6895530 7125381 7917090 9500508 11875635 13791060 14250762 15834180 21376143 23751270 28501524 35626905 42752286 47502540 71253810 85504572 106880715 142507620 213761430 427522860