Search a number
-
+
45043296 = 2534767149
BaseRepresentation
bin1010101111010…
…0111001100000
310010202102210020
42223310321200
543012341141
64245233440
71054601364
oct253647140
9103672706
1045043296
1123475771
1213102880
13944124c
145da72a4
153e4b266
hex2af4e60

45043296 has 96 divisors (see below), whose sum is σ = 123379200. Its totient is φ = 14378496.

The previous prime is 45043289. The next prime is 45043301. The reversal of 45043296 is 69234054.

45043296 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 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 15 ways as a sum of consecutive naturals, for example, 302230 + ... + 302378.

It is an arithmetic number, because the mean of its divisors is an integer number (1285200).

Almost surely, 245043296 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 45043296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61689600).

45043296 is an abundant number, since it is smaller than the sum of its proper divisors (78335904).

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

45043296 is a wasteful number, since it uses less digits than its factorization.

45043296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 45043296 is about 6711.4302499542. The cubic root of 45043296 is about 355.8033674043.

The spelling of 45043296 in words is "forty-five million, forty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 67 94 96 134 141 149 188 201 268 282 298 376 402 447 536 564 596 752 804 894 1072 1128 1192 1504 1608 1788 2144 2256 2384 3149 3216 3576 4512 4768 6298 6432 7003 7152 9447 9983 12596 14006 14304 18894 19966 21009 25192 28012 29949 37788 39932 42018 50384 56024 59898 75576 79864 84036 100768 112048 119796 151152 159728 168072 224096 239592 302304 319456 336144 469201 479184 672288 938402 958368 1407603 1876804 2815206 3753608 5630412 7507216 11260824 15014432 22521648 45043296