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45493888 = 271179409
BaseRepresentation
bin1010110110001…
…0111010000000
310011121022212211
42231202322000
543121301023
64303031504
71061456146
oct255427200
9104538784
1045493888
1123753260
121329b594
13956b37b
146083596
153ed9a0d
hex2b62e80

45493888 has 64 divisors (see below), whose sum is σ = 100368000. Its totient is φ = 20367360.

The previous prime is 45493879. The next prime is 45493901. The reversal of 45493888 is 88839454.

It is a tau number, because it is divible by the number of its divisors (64).

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, 111028 + ... + 111436.

It is an arithmetic number, because the mean of its divisors is an integer number (1568250).

Almost surely, 245493888 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 45493888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50184000).

45493888 is an abundant number, since it is smaller than the sum of its proper divisors (54874112).

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

45493888 is a wasteful number, since it uses less digits than its factorization.

45493888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 501 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 49.

The square root of 45493888 is about 6744.9157148181. The cubic root of 45493888 is about 356.9858630667.

The spelling of 45493888 in words is "forty-five million, four hundred ninety-three thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 79 88 128 158 176 316 352 409 632 704 818 869 1264 1408 1636 1738 2528 3272 3476 4499 5056 6544 6952 8998 10112 13088 13904 17996 26176 27808 32311 35992 52352 55616 64622 71984 111232 129244 143968 258488 287936 355421 516976 575872 710842 1033952 1421684 2067904 2843368 4135808 5686736 11373472 22746944 45493888