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426077064 = 23337281797
BaseRepresentation
bin11001011001010…
…110101110001000
31002200201221212000
4121121112232020
51333033431224
6110140151000
713362411120
oct3131265610
91080657760
10426077064
111a9567006
12ba838460
136a371b0a
1440831c80
15276150c9
hex19656b88

426077064 has 64 divisors (see below), whose sum is σ = 1352630400. Its totient is φ = 121735872.

The previous prime is 426077063. The next prime is 426077111. The reversal of 426077064 is 460770624.

426077064 is a `hidden beast` number, since 42 + 607 + 7 + 0 + 6 + 4 = 666.

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 (426077063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139387 + ... + 142410.

It is an arithmetic number, because the mean of its divisors is an integer number (21134850).

Almost surely, 2426077064 is an apocalyptic number.

It is an amenable number.

426077064 is an abundant number, since it is smaller than the sum of its proper divisors (926553336).

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

426077064 is a wasteful number, since it uses less digits than its factorization.

426077064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281819 (or 281809 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 426077064 is about 20641.6342376276. The cubic root of 426077064 is about 752.4818899039.

The spelling of 426077064 in words is "four hundred twenty-six million, seventy-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 281797 563594 845391 1127188 1690782 1972579 2254376 2536173 3381564 3945158 5072346 5917737 6763128 7608519 7890316 10144692 11835474 15217038 15780632 17753211 20289384 23670948 30434076 35506422 47341896 53259633 60868152 71012844 106519266 142025688 213038532 426077064