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45898840 = 23513611447
BaseRepresentation
bin1010111100010…
…1110001011000
310012100220101001
42233011301120
543222230330
64315434344
71065063601
oct257056130
9105326331
1045898840
11239aa529
12134559b4
1396807a0
14614ada8
1540699ca
hex2bc5c58

45898840 has 64 divisors (see below), whose sum is σ = 113117760. Its totient is φ = 16657920.

The previous prime is 45898807. The next prime is 45898841. The reversal of 45898840 is 4889854.

45898840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45898841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30997 + ... + 32443.

It is an arithmetic number, because the mean of its divisors is an integer number (1767465).

Almost surely, 245898840 is an apocalyptic number.

45898840 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 45898840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56558880).

45898840 is an abundant number, since it is smaller than the sum of its proper divisors (67218920).

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

45898840 is a wasteful number, since it uses less digits than its factorization.

45898840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 46.

The square root of 45898840 is about 6774.8682644019. The cubic root of 45898840 is about 358.0419413425.

The spelling of 45898840 in words is "forty-five million, eight hundred ninety-eight thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 61 65 104 122 130 244 260 305 488 520 610 793 1220 1447 1586 2440 2894 3172 3965 5788 6344 7235 7930 11576 14470 15860 18811 28940 31720 37622 57880 75244 88267 94055 150488 176534 188110 353068 376220 441335 706136 752440 882670 1147471 1765340 2294942 3530680 4589884 5737355 9179768 11474710 22949420 45898840