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45054408 = 23373141211
BaseRepresentation
bin1010101111011…
…1100111001000
310010210000000210
42223313213020
543013220113
64245401120
71054645650
oct253674710
9103700023
1045054408
1123483053
12131091a0
139446319
145dab360
153e4e6c3
hex2af79c8

45054408 has 128 divisors (see below), whose sum is σ = 136765440. Its totient is φ = 12096000.

The previous prime is 45054391. The next prime is 45054409. The reversal of 45054408 is 80445054.

It is not an unprimeable number, because it can be changed into a prime (45054409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213423 + ... + 213633.

It is an arithmetic number, because the mean of its divisors is an integer number (1068480).

Almost surely, 245054408 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 45054408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68382720).

45054408 is an abundant number, since it is smaller than the sum of its proper divisors (91711032).

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

45054408 is a wasteful number, since it uses less digits than its factorization.

45054408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 45054408 is about 6712.2580403319. The cubic root of 45054408 is about 355.8326234186.

The spelling of 45054408 in words is "forty-five million, fifty-four thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 41 42 56 62 82 84 93 123 124 164 168 186 211 217 246 248 287 328 372 422 434 492 574 633 651 744 844 861 868 984 1148 1266 1271 1302 1477 1688 1722 1736 2296 2532 2542 2604 2954 3444 3813 4431 5064 5084 5208 5908 6541 6888 7626 8651 8862 8897 10168 11816 13082 15252 17302 17724 17794 19623 25953 26164 26691 30504 34604 35448 35588 39246 45787 51906 52328 53382 60557 69208 71176 78492 91574 103812 106764 121114 137361 156984 181671 183148 207624 213528 242228 268181 274722 363342 366296 484456 536362 549444 726684 804543 1072724 1098888 1453368 1609086 1877267 2145448 3218172 3754534 5631801 6436344 7509068 11263602 15018136 22527204 45054408