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426123936 = 2533770457
BaseRepresentation
bin11001011001100…
…010001010100000
31002200211100011000
4121121202022200
51333041431221
6110141152000
713362664560
oct3131421240
91080740130
10426123936
111a9599247
12ba85b600
136a38a254
1440844da0
1527623e26
hex196622a0

426123936 has 96 divisors (see below), whose sum is σ = 1420433280. Its totient is φ = 121747968.

The previous prime is 426123911. The next prime is 426123961. The reversal of 426123936 is 639321624.

426123936 is a `hidden beast` number, since 4 + 2 + 612 + 3 + 9 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (426123911) and next prime (426123961).

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 (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 426123936.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29181 + ... + 41276.

It is an arithmetic number, because the mean of its divisors is an integer number (14796180).

Almost surely, 2426123936 is an apocalyptic number.

It is an amenable number.

426123936 is an abundant number, since it is smaller than the sum of its proper divisors (994309344).

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

426123936 is a wasteful number, since it uses less digits than its factorization.

426123936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70483 (or 70469 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 426123936 is about 20642.7695816235. The cubic root of 426123936 is about 752.5094819687.

The spelling of 426123936 in words is "four hundred twenty-six million, one hundred twenty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 70457 140914 211371 281828 422742 493199 563656 634113 845484 986398 1127312 1268226 1479597 1690968 1902339 1972796 2254624 2536452 2959194 3381936 3804678 3945592 4438791 5072904 5918388 6763872 7609356 7891184 8877582 10145808 11836776 13316373 15218712 15782368 17755164 20291616 23673552 26632746 30437424 35510328 47347104 53265492 60874848 71020656 106530984 142041312 213061968 426123936