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45980460 = 223559461
BaseRepresentation
bin1010111101100…
…1101100101100
310012112001100000
42233121230230
543232333320
64321304300
71065553551
oct257315454
9105461300
1045980460
1123a55889
1213495090
1396ab996
14616ca28
154083c90
hex2bd9b2c

45980460 has 72 divisors (see below), whose sum is σ = 144655056. Its totient is φ = 12260160.

The previous prime is 45980443. The next prime is 45980479. The reversal of 45980460 is 6408954.

45980460 is a `hidden beast` number, since 4 + 598 + 0 + 4 + 60 = 666.

It is a super-2 number, since 2×459804602 = 4228405403623200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130 + ... + 9590.

It is an arithmetic number, because the mean of its divisors is an integer number (2009098).

Almost surely, 245980460 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 45980460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72327528).

45980460 is an abundant number, since it is smaller than the sum of its proper divisors (98674596).

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

45980460 is a wasteful number, since it uses less digits than its factorization.

45980460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9485 (or 9471 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 45980460 is about 6780.8893222055. The cubic root of 45980460 is about 358.2540460356.

The spelling of 45980460 in words is "forty-five million, nine hundred eighty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 9461 18922 28383 37844 47305 56766 85149 94610 113532 141915 170298 189220 255447 283830 340596 425745 510894 567660 766341 851490 1021788 1277235 1532682 1702980 2299023 2554470 3065364 3831705 4598046 5108940 7663410 9196092 11495115 15326820 22990230 45980460