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45909384 = 2331726619
BaseRepresentation
bin1010111100100…
…0010110001000
310012101102211120
42233020112020
543223100014
64315555240
71065136413
oct257102610
9105342746
1045909384
1123a07444
121345bb20
139685521
146150b7a
15406cba9
hex2bc8588

45909384 has 48 divisors (see below), whose sum is σ = 121940400. Its totient is φ = 14400768.

The previous prime is 45909379. The next prime is 45909389. The reversal of 45909384 is 48390954.

It is an interprime number because it is at equal distance from previous prime (45909379) and next prime (45909389).

It is not an unprimeable number, because it can be changed into a prime (45909389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3627 + ... + 10245.

It is an arithmetic number, because the mean of its divisors is an integer number (2540425).

Almost surely, 245909384 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 45909384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60970200).

45909384 is an abundant number, since it is smaller than the sum of its proper divisors (76031016).

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

45909384 is a wasteful number, since it uses less digits than its factorization.

45909384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6662 (or 6641 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 45909384 is about 6775.6463898288. The cubic root of 45909384 is about 358.0693560164.

The spelling of 45909384 in words is "forty-five million, nine hundred nine thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 289 408 578 867 1156 1734 2312 3468 6619 6936 13238 19857 26476 39714 52952 79428 112523 158856 225046 337569 450092 675138 900184 1350276 1912891 2700552 3825782 5738673 7651564 11477346 15303128 22954692 45909384