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428551344 = 243313137557
BaseRepresentation
bin11001100010110…
…010110010110000
31002212101122221000
4121202302302300
51334202120334
6110305202000
713422424554
oct3142626260
91085348830
10428551344
111aa9a6a71
12bb630300
136aa2a0a0
1440cb7864
1527953299
hex198b2cb0

428551344 has 160 divisors (see below), whose sum is σ = 1336789440. Its totient is φ = 130664448.

The previous prime is 428551337. The next prime is 428551367. The reversal of 428551344 is 443155824.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 428551299 and 428551308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 769114 + ... + 769670.

It is an arithmetic number, because the mean of its divisors is an integer number (8354934).

Almost surely, 2428551344 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 428551344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668394720).

428551344 is an abundant number, since it is smaller than the sum of its proper divisors (908238096).

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

428551344 is a wasteful number, since it uses less digits than its factorization.

428551344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 712 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 428551344 is about 20701.4816861016. The cubic root of 428551344 is about 753.9356632809.

The spelling of 428551344 in words is "four hundred twenty-eight million, five hundred fifty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 137 144 156 208 216 234 274 312 351 411 432 468 548 557 624 702 822 936 1096 1114 1233 1404 1644 1671 1781 1872 2192 2228 2466 2808 3288 3342 3562 3699 4456 4932 5013 5343 5616 6576 6684 7124 7241 7398 8912 9864 10026 10686 13368 14248 14482 14796 15039 16029 19728 20052 21372 21723 26736 28496 28964 29592 30078 32058 40104 42744 43446 48087 57928 59184 60156 64116 65169 76309 80208 85488 86892 96174 115856 120312 128232 130338 152618 173784 192348 195507 228927 240624 256464 260676 305236 347568 384696 391014 457854 521352 610472 686781 769392 782028 915708 992017 1042704 1220944 1373562 1564056 1831416 1984034 2060343 2747124 2976051 3128112 3662832 3968068 4120686 5494248 5952102 7936136 8241372 8928153 10988496 11904204 15872272 16482744 17856306 23808408 26784459 32965488 35712612 47616816 53568918 71425224 107137836 142850448 214275672 428551344