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632713016 = 23132479977
BaseRepresentation
bin100101101101100…
…110111100111000
31122002120011002102
4211231212330320
52243433304031
6142441122532
721451654235
oct4555467470
91562504072
10632713016
112a5171721
12157a89448
13a1110700
146006078c
153a8307cb
hex25b66f38

632713016 has 48 divisors (see below), whose sum is σ = 1288612800. Its totient is φ = 291113472.

The previous prime is 632713009. The next prime is 632713027. The reversal of 632713016 is 610317236.

It is a self number, because there is not a number n which added to its sum of digits gives 632713016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 647120 + ... + 648096.

It is an arithmetic number, because the mean of its divisors is an integer number (26846100).

Almost surely, 2632713016 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 632713016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644306400).

632713016 is an abundant number, since it is smaller than the sum of its proper divisors (655899784).

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

632713016 is a wasteful number, since it uses less digits than its factorization.

632713016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 632713016 is about 25153.7873092701. The cubic root of 632713016 is about 858.4906896306.

The spelling of 632713016 in words is "six hundred thirty-two million, seven hundred thirteen thousand, sixteen".

Divisors: 1 2 4 8 13 26 52 104 169 338 479 676 958 977 1352 1916 1954 3832 3908 6227 7816 12454 12701 24908 25402 49816 50804 80951 101608 161902 165113 323804 330226 467983 647608 660452 935966 1320904 1871932 3743864 6083779 12167558 24335116 48670232 79089127 158178254 316356508 632713016