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50112864 = 2533311871
BaseRepresentation
bin1011111100101…
…0100101100000
310111021222221000
42333022211200
5100312102424
64550032000
71145644434
oct277124540
9114258830
1050112864
112631859a
1214948600
13a4c78a9
1469269c4
1545ed3c9
hex2fca960

50112864 has 96 divisors (see below), whose sum is σ = 150958080. Its totient is φ = 16156800.

The previous prime is 50112863. The next prime is 50112877. The reversal of 50112864 is 46821105.

50112864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×501128642 = 5022598276564992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50112863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25849 + ... + 27719.

It is an arithmetic number, because the mean of its divisors is an integer number (1572480).

Almost surely, 250112864 is an apocalyptic number.

50112864 is a gapful number since it is divisible by the number (54) 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 50112864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75479040).

50112864 is an abundant number, since it is smaller than the sum of its proper divisors (100845216).

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

50112864 is a wasteful number, since it uses less digits than its factorization.

50112864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 50112864 is about 7079.0440032535. The cubic root of 50112864 is about 368.6801379093.

Adding to 50112864 its reverse (46821105), we get a palindrome (96933969).

It can be divided in two parts, 5011 and 2864, that added together give a triangular number (7875 = T125).

The spelling of 50112864 in words is "fifty million, one hundred twelve thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 93 96 108 124 144 186 216 248 279 288 372 432 496 558 744 837 864 992 1116 1488 1674 1871 2232 2976 3348 3742 4464 5613 6696 7484 8928 11226 13392 14968 16839 22452 26784 29936 33678 44904 50517 58001 59872 67356 89808 101034 116002 134712 174003 179616 202068 232004 269424 348006 404136 464008 522009 538848 696012 808272 928016 1044018 1392024 1566027 1616544 1856032 2088036 2784048 3132054 4176072 5568096 6264108 8352144 12528216 16704288 25056432 50112864