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44350956 = 223313311019
BaseRepresentation
bin1010100100101…
…1110111101100
310002110021002000
42221023313230
542323212311
64222332300
71045656036
oct251136754
9102407060
1044350956
1123042591
1212a2a090
13925b090
145c66c56
153d61056
hex2a4bdec

44350956 has 96 divisors (see below), whose sum is σ = 127948800. Its totient is φ = 13193280.

The previous prime is 44350951. The next prime is 44350961. The reversal of 44350956 is 65905344.

44350956 = T253 + T254 + ... + T655.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (44350951) and next prime (44350961).

It is a super-2 number, since 2×443509562 = 3934014596227872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 44350956.

It is not an unprimeable number, because it can be changed into a prime (44350951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43015 + ... + 44033.

It is an arithmetic number, because the mean of its divisors is an integer number (1332800).

Almost surely, 244350956 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 44350956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63974400).

44350956 is an abundant number, since it is smaller than the sum of its proper divisors (83597844).

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

44350956 is a wasteful number, since it uses less digits than its factorization.

44350956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 44350956 is about 6659.6513422251. The cubic root of 44350956 is about 353.9709829706.

The spelling of 44350956 in words is "forty-four million, three hundred fifty thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 31 36 39 52 54 62 78 93 108 117 124 156 186 234 279 351 372 403 468 558 702 806 837 1019 1116 1209 1404 1612 1674 2038 2418 3057 3348 3627 4076 4836 6114 7254 9171 10881 12228 13247 14508 18342 21762 26494 27513 31589 36684 39741 43524 52988 55026 63178 79482 94767 110052 119223 126356 158964 189534 238446 284301 357669 379068 410657 476892 568602 715338 821314 852903 1137204 1231971 1430676 1642628 1705806 2463942 3411612 3695913 4927884 7391826 11087739 14783652 22175478 44350956