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45682440 = 23351991913
BaseRepresentation
bin1010111001000…
…0111100001000
310011221220112020
42232100330020
543143314230
64311044440
71063202646
oct256207410
9104856466
1045682440
1123871991
1213370720
13960613b
1460d2196
154025810
hex2b90f08

45682440 has 64 divisors (see below), whose sum is σ = 137808000. Its totient is φ = 12114432.

The previous prime is 45682423. The next prime is 45682459. The reversal of 45682440 is 4428654.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22924 + ... + 24836.

It is an arithmetic number, because the mean of its divisors is an integer number (2153250).

Almost surely, 245682440 is an apocalyptic number.

45682440 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 45682440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68904000).

45682440 is an abundant number, since it is smaller than the sum of its proper divisors (92125560).

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

45682440 is a wasteful number, since it uses less digits than its factorization.

45682440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 45682440 is about 6758.8786052126. The cubic root of 45682440 is about 357.4783660112.

The spelling of 45682440 in words is "forty-five million, six hundred eighty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 199 398 597 796 995 1194 1592 1913 1990 2388 2985 3826 3980 4776 5739 5970 7652 7960 9565 11478 11940 15304 19130 22956 23880 28695 38260 45912 57390 76520 114780 229560 380687 761374 1142061 1522748 1903435 2284122 3045496 3806870 4568244 5710305 7613740 9136488 11420610 15227480 22841220 45682440