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428242536 = 233229205097
BaseRepresentation
bin11001100001100…
…111011001101000
31002211210222022200
4121201213121220
51334112230121
6110254420200
713420000341
oct3141473150
91084728280
10428242536
111aa805a57
12bb501660
136a94c667
1440c370c8
15278e1a26
hex19867668

428242536 has 48 divisors (see below), whose sum is σ = 1199823300. Its totient is φ = 137824512.

The previous prime is 428242523. The next prime is 428242553. The reversal of 428242536 is 635242824.

428242536 is a `hidden beast` number, since 4 + 2 + 82 + 42 + 536 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 428241636 + 900 = 20694^2 + 30^2 .

It is a super-2 number, since 2×4282425362 = 366783339279422592, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 428242536.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100461 + ... + 104636.

Almost surely, 2428242536 is an apocalyptic number.

It is an amenable number.

428242536 is an abundant number, since it is smaller than the sum of its proper divisors (771580764).

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

428242536 is a wasteful number, since it uses less digits than its factorization.

428242536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205138 (or 205131 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 428242536 is about 20694.0217454220. The cubic root of 428242536 is about 753.7545279960.

The spelling of 428242536 in words is "four hundred twenty-eight million, two hundred forty-two thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 205097 410194 615291 820388 1230582 1640776 1845873 2461164 3691746 4922328 5947813 7383492 11895626 14766984 17843439 23791252 35686878 47582504 53530317 71373756 107060634 142747512 214121268 428242536