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63125248 = 282371151
BaseRepresentation
bin1111000011001…
…1011100000000
311101210002120011
43300303130000
5112130001443
610132554304
71364361424
oct360633400
9141702504
1063125248
11326a5a2a
1219182994
1310102624
148552b84
15581db9d
hex3c33700

63125248 has 72 divisors (see below), whose sum is σ = 134217216. Its totient is φ = 29568000.

The previous prime is 63125243. The next prime is 63125261. The reversal of 63125248 is 84252136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63125243) 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 7 ways as a sum of consecutive naturals, for example, 417973 + ... + 418123.

It is an arithmetic number, because the mean of its divisors is an integer number (1864128).

Almost surely, 263125248 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 63125248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67108608).

63125248 is an abundant number, since it is smaller than the sum of its proper divisors (71091968).

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

63125248 is a wasteful number, since it uses less digits than its factorization.

63125248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 247 counting only the distinct ones).

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

The square root of 63125248 is about 7945.1398980761. The cubic root of 63125248 is about 398.1692335190.

The spelling of 63125248 in words is "sixty-three million, one hundred twenty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 71 92 128 142 151 184 256 284 302 368 568 604 736 1136 1208 1472 1633 2272 2416 2944 3266 3473 4544 4832 5888 6532 6946 9088 9664 10721 13064 13892 18176 19328 21442 26128 27784 38656 42884 52256 55568 85768 104512 111136 171536 209024 222272 246583 343072 418048 444544 493166 686144 889088 986332 1372288 1972664 2744576 3945328 7890656 15781312 31562624 63125248