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63252096 = 2731271297
BaseRepresentation
bin1111000101001…
…0011010000000
311102000112120020
43301102122000
5112143031341
610135413440
71365430305
oct361223200
9142015506
1063252096
1132782266
1219224280
131014829b
1485870ac
155846566
hex3c52680

63252096 has 64 divisors (see below), whose sum is σ = 169466880. Its totient is φ = 20901888.

The previous prime is 63252073. The next prime is 63252107. The reversal of 63252096 is 69025236.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48120 + ... + 49416.

It is an arithmetic number, because the mean of its divisors is an integer number (2647920).

Almost surely, 263252096 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 63252096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84733440).

63252096 is an abundant number, since it is smaller than the sum of its proper divisors (106214784).

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

63252096 is a wasteful number, since it uses less digits than its factorization.

63252096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 63252096 is about 7953.1186335927. The cubic root of 63252096 is about 398.4357575041.

The spelling of 63252096 in words is "sixty-three million, two hundred fifty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 381 384 508 762 1016 1297 1524 2032 2594 3048 3891 4064 5188 6096 7782 8128 10376 12192 15564 16256 20752 24384 31128 41504 48768 62256 83008 124512 164719 166016 249024 329438 494157 498048 658876 988314 1317752 1976628 2635504 3953256 5271008 7906512 10542016 15813024 21084032 31626048 63252096