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45898864 = 24112511039
BaseRepresentation
bin1010111100010…
…1110001110000
310012100220101221
42233011301300
543222230424
64315434424
71065063634
oct257056160
9105326357
1045898864
11239aa550
1213455a14
1396807bb
14614adc4
1540699e4
hex2bc5c70

45898864 has 40 divisors (see below), whose sum is σ = 97493760. Its totient is φ = 20760000.

The previous prime is 45898859. The next prime is 45898871. The reversal of 45898864 is 46889854.

45898864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 43657 + ... + 44695.

It is an arithmetic number, because the mean of its divisors is an integer number (2437344).

Almost surely, 245898864 is an apocalyptic number.

45898864 is a gapful number since it is divisible by the number (44) 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 45898864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48746880).

45898864 is an abundant number, since it is smaller than the sum of its proper divisors (51594896).

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

45898864 is a wasteful number, since it uses less digits than its factorization.

45898864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1303 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 52.

The square root of 45898864 is about 6774.8700356538. The cubic root of 45898864 is about 358.0420037479.

The spelling of 45898864 in words is "forty-five million, eight hundred ninety-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 251 502 1004 1039 2008 2078 2761 4016 4156 5522 8312 11044 11429 16624 22088 22858 44176 45716 91432 182864 260789 521578 1043156 2086312 2868679 4172624 5737358 11474716 22949432 45898864