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45763242 = 2374797239
BaseRepresentation
bin1010111010010…
…0101010101010
310012010000100220
42232210222222
543203410432
64312510510
71063660350
oct256445252
9105100326
1045763242
1123917668
12133ab436
139633b55
1461137d0
15403e72c
hex2ba4aaa

45763242 has 64 divisors (see below), whose sum is σ = 108380160. Its totient is φ = 12612096.

The previous prime is 45763231. The next prime is 45763243. The reversal of 45763242 is 24236754.

45763242 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 (45763243) 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, 191359 + ... + 191597.

It is an arithmetic number, because the mean of its divisors is an integer number (1693440).

Almost surely, 245763242 is an apocalyptic number.

45763242 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 45763242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54190080).

45763242 is an abundant number, since it is smaller than the sum of its proper divisors (62616918).

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

45763242 is a wasteful number, since it uses less digits than its factorization.

45763242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395.

The product of its digits is 40320, while the sum is 33.

The square root of 45763242 is about 6764.8534352194. The cubic root of 45763242 is about 357.6890082426.

Adding to 45763242 its reverse (24236754), we get a palindrome (69999996).

The spelling of 45763242 in words is "forty-five million, seven hundred sixty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 47 94 97 141 194 239 282 291 329 478 582 658 679 717 987 1358 1434 1673 1974 2037 3346 4074 4559 5019 9118 10038 11233 13677 22466 23183 27354 31913 33699 46366 63826 67398 69549 78631 95739 139098 157262 162281 191478 235893 324562 471786 486843 973686 1089601 2179202 3268803 6537606 7627207 15254414 22881621 45763242