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50864352 = 2537211983
BaseRepresentation
bin1100001000001…
…0000011100000
310112201011202220
43002002003200
5101010124402
65014111040
71155224400
oct302020340
9115634686
1050864352
1126791160
121504b480
13a6cb966
146a80800
1546eadbc
hex30820e0

50864352 has 144 divisors (see below), whose sum is σ = 169610112. Its totient is φ = 13198080.

The previous prime is 50864321. The next prime is 50864353. The reversal of 50864352 is 25346805.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50864353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51253 + ... + 52235.

It is an arithmetic number, because the mean of its divisors is an integer number (1177848).

Almost surely, 250864352 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 50864352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84805056).

50864352 is an abundant number, since it is smaller than the sum of its proper divisors (118745760).

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

50864352 is a wasteful number, since it uses less digits than its factorization.

50864352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 50864352 is about 7131.9248453696. The cubic root of 50864352 is about 370.5138999777.

The spelling of 50864352 in words is "fifty million, eight hundred sixty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 49 56 66 77 84 88 96 98 112 132 147 154 168 176 196 224 231 264 294 308 336 352 392 462 528 539 588 616 672 784 924 983 1056 1078 1176 1232 1568 1617 1848 1966 2156 2352 2464 2949 3234 3696 3932 4312 4704 5898 6468 6881 7392 7864 8624 10813 11796 12936 13762 15728 17248 20643 21626 23592 25872 27524 31456 32439 41286 43252 47184 48167 51744 55048 64878 75691 82572 86504 94368 96334 110096 129756 144501 151382 165144 173008 192668 220192 227073 259512 289002 302764 330288 346016 385336 454146 519024 529837 578004 605528 660576 770672 908292 1038048 1059674 1156008 1211056 1541344 1589511 1816584 2119348 2312016 2422112 3179022 3633168 4238696 4624032 6358044 7266336 8477392 12716088 16954784 25432176 50864352