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50814972 = 223313172129
BaseRepresentation
bin1100000111010…
…1111111111100
310112121200001000
43001311333330
5101002034342
65013050300
71154630415
oct301657774
9115550030
1050814972
112675804a
1215026990
13a6b2340
146a6a80c
1546db44c
hex3075ffc

50814972 has 96 divisors (see below), whose sum is σ = 150292800. Its totient is φ = 14708736.

The previous prime is 50814971. The next prime is 50814979. The reversal of 50814972 is 27941805.

50814972 is a `hidden beast` number, since 508 + 149 + 7 + 2 = 666.

It is a super-2 number, since 2×508149722 = 5164322758721568, which contains 22 as substring.

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 (50814971) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 22804 + ... + 24932.

It is an arithmetic number, because the mean of its divisors is an integer number (1565550).

Almost surely, 250814972 is an apocalyptic number.

50814972 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50814972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75146400).

50814972 is an abundant number, since it is smaller than the sum of its proper divisors (99477828).

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

50814972 is a wasteful number, since it uses less digits than its factorization.

50814972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2172 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 50814972 is about 7128.4621062330. The cubic root of 50814972 is about 370.3939607043.

The spelling of 50814972 in words is "fifty million, eight hundred fourteen thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 27 34 36 39 51 52 54 68 78 102 108 117 153 156 204 221 234 306 351 442 459 468 612 663 702 884 918 1326 1404 1836 1989 2129 2652 3978 4258 5967 6387 7956 8516 11934 12774 19161 23868 25548 27677 36193 38322 55354 57483 72386 76644 83031 108579 110708 114966 144772 166062 217158 229932 249093 325737 332124 434316 470509 498186 651474 747279 941018 977211 996372 1302948 1411527 1494558 1882036 1954422 2823054 2989116 3908844 4234581 5646108 8469162 12703743 16938324 25407486 50814972