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428369256 = 23337733881
BaseRepresentation
bin11001100010000…
…110010101101000
31002212001102011000
4121202012111220
51334130304011
6110301235000
713421035650
oct3142062550
91085042130
10428369256
111aa892187
12bb562a60
136a995243
1440c6b360
1527919356
hex19886568

428369256 has 128 divisors (see below), whose sum is σ = 1378886400. Its totient is φ = 120683520.

The previous prime is 428369251. The next prime is 428369299. The reversal of 428369256 is 652963824.

It is not an unprimeable number, because it can be changed into a prime (428369251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108436 + ... + 112316.

It is an arithmetic number, because the mean of its divisors is an integer number (10772550).

Almost surely, 2428369256 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 428369256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689443200).

428369256 is an abundant number, since it is smaller than the sum of its proper divisors (950517144).

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

428369256 is a wasteful number, since it uses less digits than its factorization.

428369256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3976 (or 3966 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 428369256 is about 20697.0832727706. The cubic root of 428369256 is about 753.8288677654.

The spelling of 428369256 in words is "four hundred twenty-eight million, three hundred sixty-nine thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 73 84 108 126 146 168 189 216 219 252 292 378 438 504 511 584 657 756 876 1022 1314 1512 1533 1752 1971 2044 2628 3066 3881 3942 4088 4599 5256 6132 7762 7884 9198 11643 12264 13797 15524 15768 18396 23286 27167 27594 31048 34929 36792 46572 54334 55188 69858 81501 93144 104787 108668 110376 139716 163002 209574 217336 244503 279432 283313 326004 419148 489006 566626 652008 733509 838296 849939 978012 1133252 1467018 1699878 1956024 1983191 2266504 2549817 2934036 3399756 3966382 5099634 5868072 5949573 6799512 7649451 7932764 10199268 11899146 15298902 15865528 17848719 20398536 23798292 30597804 35697438 47596584 53546157 61195608 71394876 107092314 142789752 214184628 428369256