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50957064 = 233243109151
BaseRepresentation
bin1100001001100…
…0101100001000
310112212212221200
43002120230020
5101021111224
65020104200
71156061604
oct302305410
9115785850
1050957064
1126844884
1215095060
13a731c12
146aa6504
1547185c9
hex3098b08

50957064 has 96 divisors (see below), whose sum is σ = 143457600. Its totient is φ = 16329600.

The previous prime is 50957063. The next prime is 50957077. The reversal of 50957064 is 46075905.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (50957063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 337389 + ... + 337539.

It is an arithmetic number, because the mean of its divisors is an integer number (1494350).

Almost surely, 250957064 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 50957064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71728800).

50957064 is an abundant number, since it is smaller than the sum of its proper divisors (92500536).

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

50957064 is a wasteful number, since it uses less digits than its factorization.

50957064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 50957064 is about 7138.4216742919. The cubic root of 50957064 is about 370.7388789891.

The spelling of 50957064 in words is "fifty million, nine hundred fifty-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 109 129 151 172 218 258 302 327 344 387 436 453 516 604 654 774 872 906 981 1032 1208 1308 1359 1548 1812 1962 2616 2718 3096 3624 3924 4687 5436 6493 7848 9374 10872 12986 14061 16459 18748 19479 25972 28122 32918 37496 38958 42183 49377 51944 56244 58437 65836 77916 84366 98754 112488 116874 131672 148131 155832 168732 197508 233748 296262 337464 395016 467496 592524 707737 1185048 1415474 2123211 2830948 4246422 5661896 6369633 8492844 12739266 16985688 25478532 50957064