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45909640 = 23571131451
BaseRepresentation
bin1010111100100…
…0011010001000
310012101110012001
42233020122020
543223102030
64320000344
71065140230
oct257103210
9105343161
1045909640
1123a07657
12134600b4
13968568a
146150cc0
15406ccca
hex2bc8688

45909640 has 64 divisors (see below), whose sum is σ = 119180160. Its totient is φ = 15590400.

The previous prime is 45909631. The next prime is 45909641. The reversal of 45909640 is 4690954.

It is a self number, because there is not a number n which added to its sum of digits gives 45909640.

It is not an unprimeable number, because it can be changed into a prime (45909641) by changing a digit.

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, 30915 + ... + 32365.

It is an arithmetic number, because the mean of its divisors is an integer number (1862190).

Almost surely, 245909640 is an apocalyptic number.

45909640 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 45909640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59590080).

45909640 is an abundant number, since it is smaller than the sum of its proper divisors (73270520).

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

45909640 is a wasteful number, since it uses less digits than its factorization.

45909640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 45909640 is about 6775.6652809890. The cubic root of 45909640 is about 358.0700215708.

The spelling of 45909640 in words is "forty-five million, nine hundred nine thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 113 140 226 280 452 565 791 904 1130 1451 1582 2260 2902 3164 3955 4520 5804 6328 7255 7910 10157 11608 14510 15820 20314 29020 31640 40628 50785 58040 81256 101570 163963 203140 327926 406280 655852 819815 1147741 1311704 1639630 2295482 3279260 4590964 5738705 6558520 9181928 11477410 22954820 45909640