Search a number
-
+
45391008 = 2531337983
BaseRepresentation
bin1010110100100…
…1110010100000
310011102002202110
42231021302200
543110003013
64300515320
71060550205
oct255116240
9104362673
1045391008
1123692a33
121324bb40
1395335b0
146057cac
153eb92c3
hex2b49ca0

45391008 has 96 divisors (see below), whose sum is σ = 131918976. Its totient is φ = 13575168.

The previous prime is 45391007. The next prime is 45391013. The reversal of 45391008 is 80019354.

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

It is not an unprimeable number, because it can be changed into a prime (45391007) 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, 45685 + ... + 46667.

It is an arithmetic number, because the mean of its divisors is an integer number (1374156).

Almost surely, 245391008 is an apocalyptic number.

45391008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45391008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65959488).

45391008 is an abundant number, since it is smaller than the sum of its proper divisors (86527968).

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

45391008 is a wasteful number, since it uses less digits than its factorization.

45391008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 45391008 is about 6737.2849130789. The cubic root of 45391008 is about 356.7165637046.

The spelling of 45391008 in words is "forty-five million, three hundred ninety-one thousand, eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 74 78 96 104 111 148 156 208 222 296 312 416 444 481 592 624 888 962 983 1184 1248 1443 1776 1924 1966 2886 2949 3552 3848 3932 5772 5898 7696 7864 11544 11796 12779 15392 15728 23088 23592 25558 31456 36371 38337 46176 47184 51116 72742 76674 94368 102232 109113 145484 153348 204464 218226 290968 306696 408928 436452 472823 581936 613392 872904 945646 1163872 1226784 1418469 1745808 1891292 2836938 3491616 3782584 5673876 7565168 11347752 15130336 22695504 45391008