Search a number
-
+
45402336 = 253377507
BaseRepresentation
bin1010110100110…
…0100011100000
310011102200022000
42231030203200
543110333321
64301044000
71060625220
oct255144340
9104380260
1045402336
11236a04a1
1213256600
1395387b5
14605c080
153ebc826
hex2b4c8e0

45402336 has 96 divisors (see below), whose sum is σ = 151361280. Its totient is φ = 12970368.

The previous prime is 45402323. The next prime is 45402337. The reversal of 45402336 is 63320454.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×454023362 = 4122744228513792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45402337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2295 + ... + 9801.

It is an arithmetic number, because the mean of its divisors is an integer number (1576680).

Almost surely, 245402336 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 45402336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75680640).

45402336 is an abundant number, since it is smaller than the sum of its proper divisors (105958944).

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

45402336 is a wasteful number, since it uses less digits than its factorization.

45402336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7533 (or 7519 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 45402336 is about 6738.1255553752. The cubic root of 45402336 is about 356.7462358747.

The spelling of 45402336 in words is "forty-five million, four hundred two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 7507 15014 22521 30028 45042 52549 60056 67563 90084 105098 120112 135126 157647 180168 202689 210196 240224 270252 315294 360336 405378 420392 472941 540504 630588 720672 810756 840784 945882 1081008 1261176 1418823 1621512 1681568 1891764 2162016 2522352 2837646 3243024 3783528 5044704 5675292 6486048 7567056 11350584 15134112 22701168 45402336