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46300056 = 23311832113
BaseRepresentation
bin1011000010011…
…1101110011000
310020010021201220
42300213232120
543323100211
64332212040
71101354405
oct260475630
9106107656
1046300056
1124153a10
121360a020
1397912aa
1462132ac
1540e8806
hex2c27b98

46300056 has 64 divisors (see below), whose sum is σ = 127854720. Its totient is φ = 13854720.

The previous prime is 46300049. The next prime is 46300057. The reversal of 46300056 is 65000364.

46300056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 46299999 and 46300035.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46300057) 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, 20856 + ... + 22968.

It is an arithmetic number, because the mean of its divisors is an integer number (1997730).

Almost surely, 246300056 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 46300056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63927360).

46300056 is an abundant number, since it is smaller than the sum of its proper divisors (81554664).

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

46300056 is a wasteful number, since it uses less digits than its factorization.

46300056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 46300056 is about 6804.4144494585. The cubic root of 46300056 is about 359.0821681188.

The spelling of 46300056 in words is "forty-six million, three hundred thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 83 88 132 166 249 264 332 498 664 913 996 1826 1992 2113 2739 3652 4226 5478 6339 7304 8452 10956 12678 16904 21912 23243 25356 46486 50712 69729 92972 139458 175379 185944 278916 350758 526137 557832 701516 1052274 1403032 1929169 2104548 3858338 4209096 5787507 7716676 11575014 15433352 23150028 46300056