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63508328 = 23131722113
BaseRepresentation
bin1111001001000…
…0111101101000
311102111120001022
43302100331220
5112224231303
610145112012
71400545322
oct362207550
9142446038
1063508328
1132937824
1219328608
1310207ac0
148612612
155897438
hex3c90f68

63508328 has 48 divisors (see below), whose sum is σ = 136289580. Its totient is φ = 27574272.

The previous prime is 63508309. The next prime is 63508331. The reversal of 63508328 is 82380536.

63508328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 15038884 + 48469444 = 3878^2 + 6962^2 .

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 11 ways as a sum of consecutive naturals, for example, 29000 + ... + 31112.

Almost surely, 263508328 is an apocalyptic number.

63508328 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63508328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68144790).

63508328 is an abundant number, since it is smaller than the sum of its proper divisors (72781252).

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

63508328 is a wasteful number, since it uses less digits than its factorization.

63508328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 63508328 is about 7969.2112533174. The cubic root of 63508328 is about 398.9730490189.

It can be divided in two parts, 63508 and 328, that added together give a palindrome (63836).

The spelling of 63508328 in words is "sixty-three million, five hundred eight thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 289 442 578 884 1156 1768 2113 2312 3757 4226 7514 8452 15028 16904 27469 30056 35921 54938 71842 109876 143684 219752 287368 466973 610657 933946 1221314 1867892 2442628 3735784 4885256 7938541 15877082 31754164 63508328