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45813138 = 2373113197
BaseRepresentation
bin1010111011000…
…0110110010010
310012012112210220
42232300312102
543212010023
64313533510
71064256000
oct256606622
9105175726
1045813138
11239510a8
1213414296
139650787
146127a70
15404e3e3
hex2bb0d92

45813138 has 64 divisors (see below), whose sum is σ = 108345600. Its totient is φ = 12907776.

The previous prime is 45813137. The next prime is 45813143. The reversal of 45813138 is 83131854.

45813138 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 2×458131382 = 4197687226814088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45813099 and 45813108.

It is not an unprimeable number, because it can be changed into a prime (45813137) 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, 232456 + ... + 232652.

It is an arithmetic number, because the mean of its divisors is an integer number (1692900).

Almost surely, 245813138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45813138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54172800).

45813138 is an abundant number, since it is smaller than the sum of its proper divisors (62532462).

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

45813138 is a wasteful number, since it uses less digits than its factorization.

45813138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 322 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 45813138 is about 6768.5403153117. The cubic root of 45813138 is about 357.8189580129.

The spelling of 45813138 in words is "forty-five million, eight hundred thirteen thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 42 49 98 113 147 197 226 294 339 343 394 591 678 686 791 1029 1182 1379 1582 2058 2373 2758 4137 4746 5537 8274 9653 11074 16611 19306 22261 28959 33222 38759 44522 57918 66783 67571 77518 116277 133566 135142 155827 202713 232554 311654 405426 467481 934962 1090789 2181578 3272367 6544734 7635523 15271046 22906569 45813138