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45945522 = 2337197617
BaseRepresentation
bin1010111101000…
…1001010110010
310012110021102000
42233101022302
543230224042
64320434430
71065346650
oct257211262
9105407360
1045945522
1123a31607
1213478a16
139698acc
14615ddd0
15407874c
hex2bd12b2

45945522 has 64 divisors (see below), whose sum is σ = 117469440. Its totient is φ = 13039488.

The previous prime is 45945521. The next prime is 45945539. The reversal of 45945522 is 22554954.

45945522 is a `hidden beast` number, since 45 + 94 + 5 + 522 = 666.

45945522 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×459455222 = 4221981983704968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45945521) 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, 74158 + ... + 74774.

It is an arithmetic number, because the mean of its divisors is an integer number (1835460).

Almost surely, 245945522 is an apocalyptic number.

45945522 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 45945522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58734720).

45945522 is an abundant number, since it is smaller than the sum of its proper divisors (71523918).

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

45945522 is a wasteful number, since it uses less digits than its factorization.

45945522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 826 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 45945522 is about 6778.3126218846. The cubic root of 45945522 is about 358.1632839202.

The spelling of 45945522 in words is "forty-five million, nine hundred forty-five thousand, five hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 197 378 394 591 617 1182 1234 1379 1773 1851 2758 3546 3702 4137 4319 5319 5553 8274 8638 10638 11106 12411 12957 16659 24822 25914 33318 37233 38871 74466 77742 116613 121549 233226 243098 364647 729294 850843 1093941 1701686 2187882 2552529 3281823 5105058 6563646 7657587 15315174 22972761 45945522