Search a number
-
+
63256864 = 2511217312
BaseRepresentation
bin1111000101001…
…1100100100000
311102000210002211
43301103210200
5112143204424
610135451504
71365450226
oct361234440
9142023084
1063256864
1132785900
1219226b94
131014a4c8
148588b16
155847b94
hex3c53920

63256864 has 108 divisors (see below), whose sum is σ = 149766246. Its totient is φ = 26188800.

The previous prime is 63256861. The next prime is 63256883. The reversal of 63256864 is 46865236.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 46512400 + 16744464 = 6820^2 + 4092^2 .

It is a super-2 number, since 2×632568642 = 8002861686228992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63256861) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 2040529 + ... + 2040559.

Almost surely, 263256864 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 63256864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74883123).

63256864 is an abundant number, since it is smaller than the sum of its proper divisors (86509382).

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

63256864 is a wasteful number, since it uses less digits than its factorization.

63256864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 61 counting only the distinct ones).

The product of its digits is 207360, while the sum is 40.

The square root of 63256864 is about 7953.4183845690. The cubic root of 63256864 is about 398.4457687347.

The spelling of 63256864 in words is "sixty-three million, two hundred fifty-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 17 22 31 32 34 44 62 68 88 121 124 136 176 187 242 248 272 341 352 374 484 496 527 544 682 748 961 968 992 1054 1364 1496 1922 1936 2057 2108 2728 2992 3751 3844 3872 4114 4216 5456 5797 5984 7502 7688 8228 8432 10571 10912 11594 15004 15376 16337 16456 16864 21142 23188 30008 30752 32674 32912 42284 46376 60016 63767 65348 65824 84568 92752 116281 120032 127534 130696 169136 179707 185504 232562 255068 261392 338272 359414 465124 510136 522784 718828 930248 1020272 1437656 1860496 1976777 2040544 2875312 3720992 3953554 5750624 7907108 15814216 31628432 63256864