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46114112 = 2611312113
BaseRepresentation
bin1010111111101…
…0010101000000
310012202211200002
42233322111000
543301122422
64324215132
71066651322
oct257722500
9105684602
1046114112
1124037240
121353a4a8
139727775
1461a5612
1540ad692
hex2bfa540

46114112 has 56 divisors (see below), whose sum is σ = 103095552. Its totient is φ = 20275200.

The previous prime is 46114093. The next prime is 46114127. The reversal of 46114112 is 21141164.

46114112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×461141122 = 4253022651097088, which contains 22 as substring.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 20768 + ... + 22880.

It is an arithmetic number, because the mean of its divisors is an integer number (1840992).

Almost surely, 246114112 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 46114112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51547776).

46114112 is an abundant number, since it is smaller than the sum of its proper divisors (56981440).

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

46114112 is a wasteful number, since it uses less digits than its factorization.

46114112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167 (or 2157 counting only the distinct ones).

The product of its digits is 192, while the sum is 20.

The square root of 46114112 is about 6790.7372206558. The cubic root of 46114112 is about 358.6008241529.

Adding to 46114112 its reverse (21141164), we get a palindrome (67255276).

It can be divided in two parts, 4 and 6114112, that added together give a palindrome (6114116).

The spelling of 46114112 in words is "forty-six million, one hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 176 248 341 352 496 682 704 992 1364 1984 2113 2728 4226 5456 8452 10912 16904 21824 23243 33808 46486 65503 67616 92972 131006 135232 185944 262012 371888 524024 720533 743776 1048048 1441066 1487552 2096096 2882132 4192192 5764264 11528528 23057056 46114112