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45639456 = 2531992389
BaseRepresentation
bin1010111000011…
…0011100100000
310011212201120020
42232012130200
543140430311
64310113440
71062633432
oct256063440
9104781506
1045639456
1123842665
121334b880
1395bc6c5
1460c0652
154017c06
hex2b86720

45639456 has 48 divisors (see below), whose sum is σ = 120456000. Its totient is φ = 15130368.

The previous prime is 45639449. The next prime is 45639479. The reversal of 45639456 is 65493654.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 17910 + ... + 20298.

It is an arithmetic number, because the mean of its divisors is an integer number (2509500).

Almost surely, 245639456 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 45639456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60228000).

45639456 is an abundant number, since it is smaller than the sum of its proper divisors (74816544).

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

45639456 is a wasteful number, since it uses less digits than its factorization.

45639456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2601 (or 2593 counting only the distinct ones).

The product of its digits is 388800, while the sum is 42.

The square root of 45639456 is about 6755.6980394331. The cubic root of 45639456 is about 357.3662100638.

The spelling of 45639456 in words is "forty-five million, six hundred thirty-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 199 398 597 796 1194 1592 2388 2389 3184 4776 4778 6368 7167 9552 9556 14334 19104 19112 28668 38224 57336 76448 114672 229344 475411 950822 1426233 1901644 2852466 3803288 5704932 7606576 11409864 15213152 22819728 45639456