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45493580 = 2251131709
BaseRepresentation
bin1010110110001…
…0110101001100
310011121022110102
42231202311030
543121243310
64303030232
71061455226
oct255426514
9104538412
1045493580
1123753000
121329b378
13956b1a2
146083416
153ed98a5
hex2b62d4c

45493580 has 48 divisors (see below), whose sum is σ = 105144480. Its totient is φ = 16533440.

The previous prime is 45493577. The next prime is 45493601. The reversal of 45493580 is 8539454.

It is a happy number.

45493580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 25766 + ... + 27474.

It is an arithmetic number, because the mean of its divisors is an integer number (2190510).

Almost surely, 245493580 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 45493580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52572240).

45493580 is an abundant number, since it is smaller than the sum of its proper divisors (59650900).

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

45493580 is a wasteful number, since it uses less digits than its factorization.

45493580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751 (or 1727 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The square root of 45493580 is about 6744.8928827669. The cubic root of 45493580 is about 356.9850574501.

The spelling of 45493580 in words is "forty-five million, four hundred ninety-three thousand, five hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 1331 1709 2420 2662 3418 5324 6655 6836 8545 13310 17090 18799 26620 34180 37598 75196 93995 187990 206789 375980 413578 827156 1033945 2067890 2274679 4135780 4549358 9098716 11373395 22746790 45493580