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45440784 = 2433293359
BaseRepresentation
bin1010110101010…
…1111100010000
310011111122001000
42231111330100
543113101114
64301542000
71061145264
oct255257420
9104448030
1045440784
1123717374
1213274900
13955014c
14606c0a4
153ec8e09
hex2b55f10

45440784 has 80 divisors (see below), whose sum is σ = 131241600. Its totient is φ = 15053184.

The previous prime is 45440783. The next prime is 45440827. The reversal of 45440784 is 48704454.

45440784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (45440783) 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, 126397 + ... + 126755.

It is an arithmetic number, because the mean of its divisors is an integer number (1640520).

Almost surely, 245440784 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 45440784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65620800).

45440784 is an abundant number, since it is smaller than the sum of its proper divisors (85800816).

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

45440784 is a wasteful number, since it uses less digits than its factorization.

45440784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 45440784 is about 6740.9779705915. The cubic root of 45440784 is about 356.8469084432.

The spelling of 45440784 in words is "forty-five million, four hundred forty thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 293 359 432 586 718 879 1077 1172 1436 1758 2154 2344 2637 2872 3231 3516 4308 4688 5274 5744 6462 7032 7911 8616 9693 10548 12924 14064 15822 17232 19386 21096 25848 31644 38772 42192 51696 63288 77544 105187 126576 155088 210374 315561 420748 631122 841496 946683 1262244 1682992 1893366 2524488 2840049 3786732 5048976 5680098 7573464 11360196 15146928 22720392 45440784