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45446220 = 22325614139
BaseRepresentation
bin1010110101011…
…1010001001100
310011111220111100
42231113101030
543113234340
64302023100
71061200161
oct255272114
9104456440
1045446220
1123720466
1213277a90
139552771
146070068
153eca830
hex2b5744c

45446220 has 72 divisors (see below), whose sum is σ = 140147280. Its totient is φ = 11917440.

The previous prime is 45446213. The next prime is 45446221. The reversal of 45446220 is 2264454.

45446220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (45446221) 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 23 ways as a sum of consecutive naturals, for example, 8911 + ... + 13049.

It is an arithmetic number, because the mean of its divisors is an integer number (1946490).

Almost surely, 245446220 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 45446220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70073640).

45446220 is an abundant number, since it is smaller than the sum of its proper divisors (94701060).

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

45446220 is a wasteful number, since it uses less digits than its factorization.

45446220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4215 (or 4210 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 45446220 is about 6741.3811641236. The cubic root of 45446220 is about 356.8611375290.

The spelling of 45446220 in words is "forty-five million, four hundred forty-six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1220 1830 2196 2745 3660 4139 5490 8278 10980 12417 16556 20695 24834 37251 41390 49668 62085 74502 82780 124170 149004 186255 248340 252479 372510 504958 745020 757437 1009916 1262395 1514874 2272311 2524790 3029748 3787185 4544622 5049580 7574370 9089244 11361555 15148740 22723110 45446220