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45115092 = 223211210357
BaseRepresentation
bin1010110000011…
…0011011010100
310010220002021100
42230012123110
543022140332
64250550100
71055320611
oct254063324
9103802240
1045115092
1123514700
1213138330
139467b29
145dc5508
153e6267c
hex2b066d4

45115092 has 54 divisors (see below), whose sum is σ = 125362874. Its totient is φ = 13669920.

The previous prime is 45115073. The next prime is 45115111. The reversal of 45115092 is 29051154.

45115092 = T53 + T54 + ... + T646.

It is an interprime number because it is at equal distance from previous prime (45115073) and next prime (45115111).

It can be written as a sum of positive squares in only one way, i.e., 38489616 + 6625476 = 6204^2 + 2574^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 823 + ... + 9534.

Almost surely, 245115092 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 45115092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62681437).

45115092 is an abundant number, since it is smaller than the sum of its proper divisors (80247782).

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

45115092 is a wasteful number, since it uses less digits than its factorization.

45115092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10389 (or 10373 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 45115092 is about 6716.7769056297. The cubic root of 45115092 is about 355.9923093066.

The spelling of 45115092 in words is "forty-five million, one hundred fifteen thousand, ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 10357 20714 31071 41428 62142 93213 113927 124284 186426 227854 341781 372852 455708 683562 1025343 1253197 1367124 2050686 2506394 3759591 4101372 5012788 7519182 11278773 15038364 22557546 45115092