Search a number
-
+
63228096 = 2632313541
BaseRepresentation
bin1111000100110…
…0100011000000
311101222022122100
43301030203000
5112141244341
610135110400
71365300321
oct361144300
9141868570
1063228096
1132766228
1219212400
131013a399
14857c448
15583e3b6
hex3c4c8c0

63228096 has 84 divisors (see below), whose sum is σ = 187130944. Its totient is φ = 20390400.

The previous prime is 63228073. The next prime is 63228107. The reversal of 63228096 is 69082236.

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 63228096.

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, 16086 + ... + 19626.

Almost surely, 263228096 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 63228096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93565472).

63228096 is an abundant number, since it is smaller than the sum of its proper divisors (123902848).

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

63228096 is a wasteful number, since it uses less digits than its factorization.

63228096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3590 (or 3577 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 63228096 is about 7951.6096483668. The cubic root of 63228096 is about 398.3853577625.

The spelling of 63228096 in words is "sixty-three million, two hundred twenty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 144 186 192 248 279 288 372 496 558 576 744 992 1116 1488 1984 2232 2976 3541 4464 5952 7082 8928 10623 14164 17856 21246 28328 31869 42492 56656 63738 84984 109771 113312 127476 169968 219542 226624 254952 329313 339936 439084 509904 658626 679872 878168 987939 1019808 1317252 1756336 1975878 2039616 2634504 3512672 3951756 5269008 7025344 7903512 10538016 15807024 21076032 31614048 63228096