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63514048 = 261397787
BaseRepresentation
bin1111001001001…
…0010111000000
311102111211220011
43302102113000
5112224422143
610145154304
71400601103
oct362222700
9142454804
1063514048
1132941054
121932b994
131020a5a0
14861473a
155898e9d
hex3c925c0

63514048 has 56 divisors (see below), whose sum is σ = 137304272. Its totient is φ = 28975104.

The previous prime is 63514037. The next prime is 63514051. The reversal of 63514048 is 84041536.

It is a happy number.

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, 80311 + ... + 81097.

It is an arithmetic number, because the mean of its divisors is an integer number (2451862).

Almost surely, 263514048 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 63514048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68652136).

63514048 is an abundant number, since it is smaller than the sum of its proper divisors (73790224).

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

63514048 is a wasteful number, since it uses less digits than its factorization.

63514048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 63514048 is about 7969.5701264246. The cubic root of 63514048 is about 398.9850267516.

The spelling of 63514048 in words is "sixty-three million, five hundred fourteen thousand, forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 97 104 194 208 388 416 776 787 832 1261 1552 1574 2522 3104 3148 5044 6208 6296 10088 10231 12592 20176 20462 25184 40352 40924 50368 76339 80704 81848 152678 163696 305356 327392 610712 654784 992407 1221424 1984814 2442848 3969628 4885696 7939256 15878512 31757024 63514048