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50086368 = 2532612851
BaseRepresentation
bin1011111100010…
…0000111100000
310111020122120200
42333010013200
5100310230433
64545305200
71145504253
oct277040740
9114218520
1050086368
11262aa6a2
1214935200
13a4b8807
14691b09a
1545e5613
hex2fc41e0

50086368 has 72 divisors (see below), whose sum is σ = 144818856. Its totient is φ = 16416000.

The previous prime is 50086367. The next prime is 50086397. The reversal of 50086368 is 86368005.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50086367) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16143 + ... + 18993.

It is an arithmetic number, because the mean of its divisors is an integer number (2011373).

Almost surely, 250086368 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 50086368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72409428).

50086368 is an abundant number, since it is smaller than the sum of its proper divisors (94732488).

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

50086368 is a wasteful number, since it uses less digits than its factorization.

50086368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2928 (or 2917 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 50086368 is about 7077.1723166813. The cubic root of 50086368 is about 368.6151494660.

It can be divided in two parts, 5008636 and 8, that added together give a square (5008644 = 22382).

The spelling of 50086368 in words is "fifty million, eighty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 72 96 122 144 183 244 288 366 488 549 732 976 1098 1464 1952 2196 2851 2928 4392 5702 5856 8553 8784 11404 17106 17568 22808 25659 34212 45616 51318 68424 91232 102636 136848 173911 205272 273696 347822 410544 521733 695644 821088 1043466 1391288 1565199 2086932 2782576 3130398 4173864 5565152 6260796 8347728 12521592 16695456 25043184 50086368