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45610640 = 2451937811
BaseRepresentation
bin1010110111111…
…1011010010000
310011211021000222
42231333122100
543134020030
64305332212
71062453425
oct255773220
9104737028
1045610640
1123822a49
1213337068
1395ac55a
1460b3d4c
15400e3e5
hex2b7f690

45610640 has 80 divisors (see below), whose sum is σ = 114784320. Its totient is φ = 16796160.

The previous prime is 45610637. The next prime is 45610651. The reversal of 45610640 is 4601654.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55835 + ... + 56645.

It is an arithmetic number, because the mean of its divisors is an integer number (1434804).

Almost surely, 245610640 is an apocalyptic number.

45610640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45610640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57392160).

45610640 is an abundant number, since it is smaller than the sum of its proper divisors (69173680).

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

45610640 is a wasteful number, since it uses less digits than its factorization.

45610640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 45610640 is about 6753.5649845100. The cubic root of 45610640 is about 357.2909825183.

The spelling of 45610640 in words is "forty-five million, six hundred ten thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 37 38 40 74 76 80 95 148 152 185 190 296 304 370 380 592 703 740 760 811 1406 1480 1520 1622 2812 2960 3244 3515 4055 5624 6488 7030 8110 11248 12976 14060 15409 16220 28120 30007 30818 32440 56240 60014 61636 64880 77045 120028 123272 150035 154090 240056 246544 300070 308180 480112 570133 600140 616360 1140266 1200280 1232720 2280532 2400560 2850665 4561064 5701330 9122128 11402660 22805320 45610640