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41995296 = 2532737563
BaseRepresentation
bin1010000000110…
…0110000100000
32221000120201100
42200030300200
541222322141
64100034400
71016645160
oct240146040
987016640
1041995296
1121783762
1212092a00
138914ab5
1458125a0
153a480b6
hex280cc20

41995296 has 144 divisors (see below), whose sum is σ = 140422464. Its totient is φ = 11653632.

The previous prime is 41995271. The next prime is 41995319. The reversal of 41995296 is 69259914.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×419952962 = 3527209772255232, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74311 + ... + 74873.

It is an arithmetic number, because the mean of its divisors is an integer number (975156).

Almost surely, 241995296 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 41995296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70211232).

41995296 is an abundant number, since it is smaller than the sum of its proper divisors (98427168).

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

41995296 is a wasteful number, since it uses less digits than its factorization.

41995296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 612 counting only the distinct ones).

The product of its digits is 174960, while the sum is 45.

The square root of 41995296 is about 6480.3777667664. The cubic root of 41995296 is about 347.5896868380.

The spelling of 41995296 in words is "forty-one million, nine hundred ninety-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 37 42 48 56 63 72 74 84 96 111 112 126 144 148 168 222 224 252 259 288 296 333 336 444 504 518 563 592 666 672 777 888 1008 1036 1126 1184 1332 1554 1689 1776 2016 2072 2252 2331 2664 3108 3378 3552 3941 4144 4504 4662 5067 5328 6216 6756 7882 8288 9008 9324 10134 10656 11823 12432 13512 15764 18016 18648 20268 20831 23646 24864 27024 31528 35469 37296 40536 41662 47292 54048 62493 63056 70938 74592 81072 83324 94584 124986 126112 141876 145817 162144 166648 187479 189168 249972 283752 291634 333296 374958 378336 437451 499944 567504 583268 666592 749916 874902 999888 1135008 1166536 1312353 1499832 1749804 1999776 2333072 2624706 2999664 3499608 4666144 5249412 5999328 6999216 10498824 13998432 20997648 41995296