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45118272 = 2631723601
BaseRepresentation
bin1010110000011…
…1001101000000
310010220020122010
42230013031000
543022241042
64251012520
71055333103
oct254071500
9103806563
1045118272
1123517031
121313a140
139469404
145dc673a
153e6359c
hex2b07340

45118272 has 112 divisors (see below), whose sum is σ = 132112512. Its totient is φ = 13516800.

The previous prime is 45118259. The next prime is 45118277. The reversal of 45118272 is 27281154.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45118277) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74772 + ... + 75372.

It is an arithmetic number, because the mean of its divisors is an integer number (1179576).

Almost surely, 245118272 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 45118272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66056256).

45118272 is an abundant number, since it is smaller than the sum of its proper divisors (86994240).

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

45118272 is a wasteful number, since it uses less digits than its factorization.

45118272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 646 counting only the distinct ones).

The product of its digits is 4480, while the sum is 30.

The square root of 45118272 is about 6717.0136221389. The cubic root of 45118272 is about 356.0006733144. Note that the first 3 decimals are identical.

The spelling of 45118272 in words is "forty-five million, one hundred eighteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 32 34 46 48 51 64 68 69 92 96 102 136 138 184 192 204 272 276 368 391 408 544 552 601 736 782 816 1088 1104 1173 1202 1472 1564 1632 1803 2208 2346 2404 3128 3264 3606 4416 4692 4808 6256 7212 9384 9616 10217 12512 13823 14424 18768 19232 20434 25024 27646 28848 30651 37536 38464 40868 41469 55292 57696 61302 75072 81736 82938 110584 115392 122604 163472 165876 221168 234991 245208 326944 331752 442336 469982 490416 653888 663504 704973 884672 939964 980832 1327008 1409946 1879928 1961664 2654016 2819892 3759856 5639784 7519712 11279568 15039424 22559136 45118272