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63245248 = 261128167
BaseRepresentation
bin1111000101000…
…0101111000000
311102000012011121
43301100233000
5112142321443
610135322024
71365401323
oct361205700
9142005147
1063245248
1132778100
1219220314
1310145131
1485847ba
1558444ed
hex3c50bc0

63245248 has 42 divisors (see below), whose sum is σ = 137965688. Its totient is φ = 28744320.

The previous prime is 63245233. The next prime is 63245249. The reversal of 63245248 is 84254236.

It is a super-2 number, since 2×632452482 = 7999922789163008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63245249) 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 5 ways as a sum of consecutive naturals, for example, 3661 + ... + 11827.

Almost surely, 263245248 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 63245248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68982844).

63245248 is an abundant number, since it is smaller than the sum of its proper divisors (74720440).

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

63245248 is a wasteful number, since it uses less digits than its factorization.

63245248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8201 (or 8180 counting only the distinct ones).

The product of its digits is 46080, while the sum is 34.

The square root of 63245248 is about 7952.6880990015. The cubic root of 63245248 is about 398.4213780779.

The spelling of 63245248 in words is "sixty-three million, two hundred forty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3872 7744 8167 16334 32668 65336 89837 130672 179674 261344 359348 522688 718696 988207 1437392 1976414 2874784 3952828 5749568 7905656 15811312 31622624 63245248