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427420188 = 22321317311733
BaseRepresentation
bin11001011110011…
…110101000011100
31002210021012021100
4121132132220130
51333404421223
6110225033100
713410003666
oct3136365034
91083235240
10427420188
111aa2a4128
12bb185790
136a722270
1440aa1536
15277cd043
hex1979ea1c

427420188 has 144 divisors (see below), whose sum is σ = 1272450816. Its totient is φ = 119715840.

The previous prime is 427420177. The next prime is 427420193. The reversal of 427420188 is 881024724.

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 47 ways as a sum of consecutive naturals, for example, 245770 + ... + 247502.

It is an arithmetic number, because the mean of its divisors is an integer number (8836464).

Almost surely, 2427420188 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 427420188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636225408).

427420188 is an abundant number, since it is smaller than the sum of its proper divisors (845030628).

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

427420188 is a wasteful number, since it uses less digits than its factorization.

427420188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1804 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 427420188 is about 20674.1429810283. The cubic root of 427420188 is about 753.2717441665.

The spelling of 427420188 in words is "four hundred twenty-seven million, four hundred twenty thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 31 34 36 39 51 52 62 68 78 93 102 117 124 153 156 186 204 221 234 279 306 372 403 442 468 527 558 612 663 806 884 1054 1116 1209 1326 1581 1612 1733 1989 2108 2418 2652 3162 3466 3627 3978 4743 4836 5199 6324 6851 6932 7254 7956 9486 10398 13702 14508 15597 18972 20553 20796 22529 27404 29461 31194 41106 45058 53723 58922 61659 62388 67587 82212 88383 90116 107446 117844 123318 135174 161169 176766 202761 214892 246636 265149 270348 322338 353532 382993 405522 483507 530298 644676 698399 765986 811044 913291 967014 1060596 1148979 1396798 1531972 1826582 1934028 2095197 2297958 2739873 2793596 3446937 3653164 4190394 4595916 5479746 6285591 6893874 8219619 8380788 10959492 11872783 12571182 13787748 16439238 23745566 25142364 32878476 35618349 47491132 71236698 106855047 142473396 213710094 427420188