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63425296 = 241121812
BaseRepresentation
bin1111000111110…
…0101100010000
311102100100011001
43301330230100
5112214102141
610143231344
71400051254
oct361745420
9142310131
1063425296
1132890400
12192a8554
13101a907c
1485d0264
15587ca31
hex3c7cb10

63425296 has 45 divisors (see below), whose sum is σ = 135823989. Its totient is φ = 28670400.

The previous prime is 63425281. The next prime is 63425309. The reversal of 63425296 is 69252436.

The square root of 63425296 is 7964.

It is a perfect power (a square), and thus also a powerful number.

63425296 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 only one way, i.e., 698896 + 62726400 = 836^2 + 7920^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 350326 + ... + 350506.

Almost surely, 263425296 is an apocalyptic number.

63425296 is the 7964-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63425296

63425296 is an abundant number, since it is smaller than the sum of its proper divisors (72398693).

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

63425296 is a wasteful number, since it uses less digits than its factorization.

63425296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 194 counting only the distinct ones).

The product of its digits is 77760, while the sum is 37.

The cubic root of 63425296 is about 398.7990981953.

The spelling of 63425296 in words is "sixty-three million, four hundred twenty-five thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 181 242 362 484 724 968 1448 1936 1991 2896 3982 7964 15928 21901 31856 32761 43802 65522 87604 131044 175208 262088 350416 360371 524176 720742 1441484 2882968 3964081 5765936 7928162 15856324 31712648 63425296