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45115044 = 223131931491
BaseRepresentation
bin1010110000011…
…0011010100100
310010220002012120
42230012122210
543022140134
64250545540
71055320512
oct254063244
9103802176
1045115044
1123514667
12131382b0
139467ac0
145dc54b2
153e62649
hex2b066a4

45115044 has 96 divisors (see below), whose sum is σ = 123432960. Its totient is φ = 12700800.

The previous prime is 45115043. The next prime is 45115067. The reversal of 45115044 is 44051154.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (45115043) 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 31 ways as a sum of consecutive naturals, for example, 91639 + ... + 92129.

It is an arithmetic number, because the mean of its divisors is an integer number (1285760).

Almost surely, 245115044 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 45115044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61716480).

45115044 is an abundant number, since it is smaller than the sum of its proper divisors (78317916).

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

45115044 is a wasteful number, since it uses less digits than its factorization.

45115044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 45115044 is about 6716.7733324864. The cubic root of 45115044 is about 355.9921830544.

Adding to 45115044 its reverse (44051154), we get a palindrome (89166198).

The spelling of 45115044 in words is "forty-five million, one hundred fifteen thousand, forty-four".

Divisors: 1 2 3 4 6 12 13 19 26 31 38 39 52 57 62 76 78 93 114 124 156 186 228 247 372 403 491 494 589 741 806 982 988 1178 1209 1473 1482 1612 1767 1964 2356 2418 2946 2964 3534 4836 5892 6383 7068 7657 9329 12766 15221 15314 18658 19149 22971 25532 27987 30442 30628 37316 38298 45663 45942 55974 60884 76596 91326 91884 111948 121277 182652 197873 242554 289199 363831 395746 485108 578398 593619 727662 791492 867597 1156796 1187238 1455324 1735194 2374476 3470388 3759587 7519174 11278761 15038348 22557522 45115044