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63190016 = 210232683
BaseRepresentation
bin1111000100001…
…1010000000000
311101220101101222
43301003100000
5112134040031
610134214212
71365051311
oct361032000
9141811358
1063190016
113273a65a
12191b4368
1310125c56
14856c608
155832e7b
hex3c43400

63190016 has 44 divisors (see below), whose sum is σ = 131859552. Its totient is φ = 30210048.

The previous prime is 63190013. The next prime is 63190033. The reversal of 63190016 is 61009136.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63190013) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22211 + ... + 24893.

It is an arithmetic number, because the mean of its divisors is an integer number (2996808).

Almost surely, 263190016 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 63190016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65929776).

63190016 is an abundant number, since it is smaller than the sum of its proper divisors (68669536).

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

63190016 is a wasteful number, since it uses less digits than its factorization.

63190016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2726 (or 2708 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 63190016 is about 7949.2148039916. The cubic root of 63190016 is about 398.3053639942.

The spelling of 63190016 in words is "sixty-three million, one hundred ninety thousand, sixteen".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 736 1024 1472 2683 2944 5366 5888 10732 11776 21464 23552 42928 61709 85856 123418 171712 246836 343424 493672 686848 987344 1373696 1974688 2747392 3949376 7898752 15797504 31595008 63190016