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45944496 = 243713101
BaseRepresentation
bin1010111101000…
…0111010110000
310012110020000000
42233100322300
543230210441
64320430000
71065343653
oct257207260
9105406000
1045944496
1123a30864
1213478300
1396984c0
14615d89a
1540782b6
hex2bd0eb0

45944496 has 160 divisors (see below), whose sum is σ = 145199040. Its totient is φ = 13996800.

The previous prime is 45944471. The next prime is 45944519. The reversal of 45944496 is 69444954.

45944496 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 2×459444962 = 4221793425388032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 454846 + ... + 454946.

It is an arithmetic number, because the mean of its divisors is an integer number (907494).

Almost surely, 245944496 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 45944496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72599520).

45944496 is an abundant number, since it is smaller than the sum of its proper divisors (99254544).

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

45944496 is a wasteful number, since it uses less digits than its factorization.

45944496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 119 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 45944496 is about 6778.2369389097. The cubic root of 45944496 is about 358.1606178768.

The spelling of 45944496 in words is "forty-five million, nine hundred forty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 101 104 108 117 144 156 162 202 208 216 234 243 303 312 324 351 404 432 468 486 606 624 648 702 729 808 909 936 972 1053 1212 1296 1313 1404 1458 1616 1818 1872 1944 2106 2187 2424 2626 2727 2808 2916 3159 3636 3888 3939 4212 4374 4848 5252 5454 5616 5832 6318 7272 7878 8181 8424 8748 9477 10504 10908 11664 11817 12636 14544 15756 16362 16848 17496 18954 21008 21816 23634 24543 25272 28431 31512 32724 34992 35451 37908 43632 47268 49086 50544 56862 63024 65448 70902 73629 75816 94536 98172 106353 113724 130896 141804 147258 151632 189072 196344 212706 220887 227448 283608 294516 319059 392688 425412 441774 454896 567216 589032 638118 850824 883548 957177 1178064 1276236 1701648 1767096 1914354 2552472 2871531 3534192 3828708 5104944 5743062 7657416 11486124 15314832 22972248 45944496