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45922380 = 22357532063
BaseRepresentation
bin1010111100101…
…1100001001100
310012102002122220
42233023201030
543224004010
64320135340
71065222330
oct257134114
9105362586
1045922380
1123a16189
1213467550
13968b40a
1461557c0
154071970
hex2bcb84c

45922380 has 96 divisors (see below), whose sum is σ = 149796864. Its totient is φ = 10293504.

The previous prime is 45922369. The next prime is 45922381. The reversal of 45922380 is 8322954.

It is a happy number.

45922380 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 (45922381) 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 31 ways as a sum of consecutive naturals, for example, 21229 + ... + 23291.

It is an arithmetic number, because the mean of its divisors is an integer number (1560384).

Almost surely, 245922380 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 45922380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74898432).

45922380 is an abundant number, since it is smaller than the sum of its proper divisors (103874484).

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

45922380 is a wasteful number, since it uses less digits than its factorization.

45922380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135 (or 2133 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 45922380 is about 6776.6053448611. The cubic root of 45922380 is about 358.1031401793.

The spelling of 45922380 in words is "forty-five million, nine hundred twenty-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 53 60 70 84 105 106 140 159 210 212 265 318 371 420 530 636 742 795 1060 1113 1484 1590 1855 2063 2226 3180 3710 4126 4452 5565 6189 7420 8252 10315 11130 12378 14441 20630 22260 24756 28882 30945 41260 43323 57764 61890 72205 86646 109339 123780 144410 173292 216615 218678 288820 328017 433230 437356 546695 656034 765373 866460 1093390 1312068 1530746 1640085 2186780 2296119 3061492 3280170 3826865 4592238 6560340 7653730 9184476 11480595 15307460 22961190 45922380