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40576716 = 22323741743
BaseRepresentation
bin1001101011001…
…0011011001100
32211100111210100
42122302123030
540341423331
64005411100
71001616315
oct232623314
984314710
1040576716
11209a4984
1211709a90
1385391bb
14556360c
153867ae6
hex26b26cc

40576716 has 72 divisors (see below), whose sum is σ = 108055584. Its totient is φ = 12821760.

The previous prime is 40576699. The next prime is 40576721. The reversal of 40576716 is 61767504.

40576716 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-3 number, since 3×405767163 (a number of 24 digits) contains 333 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 54241 + ... + 54983.

It is an arithmetic number, because the mean of its divisors is an integer number (1500772).

Almost surely, 240576716 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 40576716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54027792).

40576716 is an abundant number, since it is smaller than the sum of its proper divisors (67478868).

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

40576716 is a wasteful number, since it uses less digits than its factorization.

40576716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 40576716 is about 6369.9855572835. The cubic root of 40576716 is about 343.6309703147.

The spelling of 40576716 in words is "forty million, five hundred seventy-six thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 37 41 74 82 111 123 148 164 222 246 333 369 444 492 666 738 743 1332 1476 1486 1517 2229 2972 3034 4458 4551 6068 6687 8916 9102 13374 13653 18204 26748 27306 27491 30463 54612 54982 60926 82473 91389 109964 121852 164946 182778 247419 274167 329892 365556 494838 548334 989676 1096668 1127131 2254262 3381393 4508524 6762786 10144179 13525572 20288358 40576716