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63387312 = 24331411039
BaseRepresentation
bin1111000111001…
…1011010110000
311102021102001020
43301303122300
5112211343222
610142335440
71366532442
oct361633260
9142242036
1063387312
113286490a
121928a580
13101949b1
1485c0492
15587165c
hex3c736b0

63387312 has 80 divisors (see below), whose sum is σ = 173322240. Its totient is φ = 19929600.

The previous prime is 63387307. The next prime is 63387391. The reversal of 63387312 is 21378336.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60489 + ... + 61527.

It is an arithmetic number, because the mean of its divisors is an integer number (2166528).

Almost surely, 263387312 is an apocalyptic number.

63387312 is a gapful number since it is divisible by the number (62) 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 63387312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86661120).

63387312 is an abundant number, since it is smaller than the sum of its proper divisors (109934928).

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

63387312 is a wasteful number, since it uses less digits than its factorization.

63387312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1116 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 63387312 is about 7961.6149115616. The cubic root of 63387312 is about 398.7194716591.

The spelling of 63387312 in words is "sixty-three million, three hundred eighty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 41 48 62 82 93 123 124 164 186 246 248 328 372 492 496 656 744 984 1039 1271 1488 1968 2078 2542 3117 3813 4156 5084 6234 7626 8312 10168 12468 15252 16624 20336 24936 30504 32209 42599 49872 61008 64418 85198 96627 127797 128836 170396 193254 255594 257672 340792 386508 511188 515344 681584 773016 1022376 1320569 1546032 2044752 2641138 3961707 5282276 7923414 10564552 15846828 21129104 31693656 63387312