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45987260 = 22511231613
BaseRepresentation
bin1010111101101…
…1010110111100
310012112101122212
42233123112330
543233043020
64321355552
71065612434
oct257332674
9105471585
1045987260
1123a5aa00
1213498bb8
1396b1ac7
1461712c4
154085cc5
hex2bdb5bc

45987260 has 72 divisors (see below), whose sum is σ = 109753728. Its totient is φ = 16156800.

The previous prime is 45987257. The next prime is 45987287. The reversal of 45987260 is 6278954.

It is a super-2 number, since 2×459872602 = 4229656164615200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74714 + ... + 75326.

Almost surely, 245987260 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 45987260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54876864).

45987260 is an abundant number, since it is smaller than the sum of its proper divisors (63766468).

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

45987260 is a wasteful number, since it uses less digits than its factorization.

45987260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 45987260 is about 6781.3907128258. The cubic root of 45987260 is about 358.2717057649.

The spelling of 45987260 in words is "forty-five million, nine hundred eighty-seven thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 121 124 155 220 242 310 341 484 605 613 620 682 1210 1226 1364 1705 2420 2452 3065 3410 3751 6130 6743 6820 7502 12260 13486 15004 18755 19003 26972 33715 37510 38006 67430 74173 75020 76012 95015 134860 148346 190030 209033 296692 370865 380060 418066 741730 836132 1045165 1483460 2090330 2299363 4180660 4598726 9197452 11496815 22993630 45987260