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45826506 = 23311179431
BaseRepresentation
bin1010111011010…
…0000111001010
310012020020011000
42232310013022
543212422011
64314115430
71064342655
oct256640712
9105206130
1045826506
1123960150
121341bb76
13965689b
14612c89c
154053356
hex2bb41ca

45826506 has 64 divisors (see below), whose sum is σ = 111974400. Its totient is φ = 13777200.

The previous prime is 45826483. The next prime is 45826507. The reversal of 45826506 is 60562854.

45826506 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 (45826507) 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, 106111 + ... + 106541.

It is an arithmetic number, because the mean of its divisors is an integer number (1749600).

Almost surely, 245826506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45826506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55987200).

45826506 is an abundant number, since it is smaller than the sum of its proper divisors (66147894).

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

45826506 is a wasteful number, since it uses less digits than its factorization.

45826506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 45826506 is about 6769.5277531007. The cubic root of 45826506 is about 357.8537577732.

The spelling of 45826506 in words is "forty-five million, eight hundred twenty-six thousand, five hundred six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 179 198 297 358 431 537 594 862 1074 1293 1611 1969 2586 3222 3879 3938 4741 4833 5907 7758 9482 9666 11637 11814 14223 17721 23274 28446 35442 42669 53163 77149 85338 106326 128007 154298 231447 256014 462894 694341 848639 1388682 1697278 2083023 2545917 4166046 5091834 7637751 15275502 22913253 45826506