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45594640 = 2457136263
BaseRepresentation
bin1010110111101…
…1100000010000
310011210110002101
42231323200100
543133012030
64305130144
71062355660
oct255734020
9104713071
1045594640
1123811a23
1213329954
1395a51a0
1460ac1a0
1540097ca
hex2b7b810

45594640 has 80 divisors (see below), whose sum is σ = 130491648. Its totient is φ = 14427648.

The previous prime is 45594631. The next prime is 45594643. The reversal of 45594640 is 4649554.

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

It is a self number, because there is not a number n which added to its sum of digits gives 45594640.

It is not an unprimeable number, because it can be changed into a prime (45594643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4149 + ... + 10411.

Almost surely, 245594640 is an apocalyptic number.

45594640 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 45594640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65245824).

45594640 is an abundant number, since it is smaller than the sum of its proper divisors (84897008).

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

45594640 is a wasteful number, since it uses less digits than its factorization.

45594640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6296 (or 6290 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The square root of 45594640 is about 6752.3803210424. The cubic root of 45594640 is about 357.2491989614.

The spelling of 45594640 in words is "forty-five million, five hundred ninety-four thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 6263 7280 12526 25052 31315 43841 50104 62630 81419 87682 100208 125260 162838 175364 219205 250520 325676 350728 407095 438410 501040 569933 651352 701456 814190 876820 1139866 1302704 1628380 1753640 2279732 2849665 3256760 3507280 4559464 5699330 6513520 9118928 11398660 22797320 45594640