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490454328 = 23373134583
BaseRepresentation
bin11101001110111…
…011110100111000
31021011212122212010
4131032323310320
52001024014303
6120400045520
715103536000
oct3516736470
91234778763
10490454328
11231937661
121183038a0
137a7c2280
14491cd000
152d0cec03
hex1d3bbd38

490454328 has 128 divisors (see below), whose sum is σ = 1540224000. Its totient is φ = 129322368.

The previous prime is 490454287. The next prime is 490454333. The reversal of 490454328 is 823454094.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104725 + ... + 109307.

It is an arithmetic number, because the mean of its divisors is an integer number (12033000).

Almost surely, 2490454328 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 490454328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770112000).

490454328 is an abundant number, since it is smaller than the sum of its proper divisors (1049769672).

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

490454328 is a wasteful number, since it uses less digits than its factorization.

490454328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4626 (or 4608 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 490454328 is about 22146.2034669602. The cubic root of 490454328 is about 788.6171010169.

The spelling of 490454328 in words is "four hundred ninety million, four hundred fifty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 147 156 168 182 196 273 294 312 343 364 392 546 588 637 686 728 1029 1092 1176 1274 1372 1911 2058 2184 2548 2744 3822 4116 4459 4583 5096 7644 8232 8918 9166 13377 13749 15288 17836 18332 26754 27498 32081 35672 36664 53508 54996 59579 64162 96243 107016 109992 119158 128324 178737 192486 224567 238316 256648 357474 384972 417053 449134 476632 673701 714948 769944 834106 898268 1251159 1347402 1429896 1571969 1668212 1796536 2502318 2694804 2919371 3143938 3336424 4715907 5004636 5389608 5838742 6287876 8758113 9431814 10009272 11677484 12575752 17516226 18863628 20435597 23354968 35032452 37727256 40871194 61306791 70064904 81742388 122613582 163484776 245227164 490454328