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428156624 = 24731127971
BaseRepresentation
bin11001100001010…
…010011011010000
31002211122121110202
4121201102123100
51334102002444
6110252514332
713416162020
oct3141223320
91084577422
10428156624
111aa757455
12bb47b9a8
136a91c51c
1440c13a80
15278c634e
hex198526d0

428156624 has 80 divisors (see below), whose sum is σ = 987365376. Its totient is φ = 175996800.

The previous prime is 428156623. The next prime is 428156639. The reversal of 428156624 is 426651824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428156623) 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, 440459 + ... + 441429.

Almost surely, 2428156624 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 428156624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493682688).

428156624 is an abundant number, since it is smaller than the sum of its proper divisors (559208752).

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

428156624 is a wasteful number, since it uses less digits than its factorization.

428156624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1138 counting only the distinct ones).

The product of its digits is 92160, while the sum is 38.

The square root of 428156624 is about 20691.9458727303. The cubic root of 428156624 is about 753.7041197309.

The spelling of 428156624 in words is "four hundred twenty-eight million, one hundred fifty-six thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 127 217 248 254 434 496 508 868 889 971 1016 1736 1778 1942 2032 3472 3556 3884 3937 6797 7112 7768 7874 13594 14224 15536 15748 27188 27559 30101 31496 54376 55118 60202 62992 108752 110236 120404 123317 210707 220472 240808 246634 421414 440944 481616 493268 842828 863219 986536 1685656 1726438 1973072 3371312 3452876 3822827 6905752 7645654 13811504 15291308 26759789 30582616 53519578 61165232 107039156 214078312 428156624