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63881312 = 2511347523
BaseRepresentation
bin1111001110110…
…0000001100000
311110012111200112
43303230001200
5112323200222
610201110452
71403660615
oct363540140
9143174615
1063881312
1133071a80
1219488428
13103087c1
1486ac50c
15591cbe2
hex3cec060

63881312 has 48 divisors (see below), whose sum is σ = 137858112. Its totient is φ = 28897920.

The previous prime is 63881299. The next prime is 63881333. The reversal of 63881312 is 21318836.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121883 + ... + 122405.

It is an arithmetic number, because the mean of its divisors is an integer number (2872044).

Almost surely, 263881312 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 63881312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68929056).

63881312 is an abundant number, since it is smaller than the sum of its proper divisors (73976800).

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

63881312 is a wasteful number, since it uses less digits than its factorization.

63881312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 883 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 63881312 is about 7992.5785576371. The cubic root of 63881312 is about 399.7525803236.

The spelling of 63881312 in words is "sixty-three million, eight hundred eighty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 347 352 523 694 1046 1388 2092 2776 3817 4184 5552 5753 7634 8368 11104 11506 15268 16736 23012 30536 46024 61072 92048 122144 181481 184096 362962 725924 1451848 1996291 2903696 3992582 5807392 7985164 15970328 31940656 63881312