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41274912 = 2537173613
BaseRepresentation
bin1001110101110…
…0111000100000
32212122222112110
42131130320200
541031244122
64032355320
71010555010
oct235347040
985588473
1041274912
11213314a8
12119a5b40
138721c33
1456a5c40
15395490c
hex275ce20

41274912 has 96 divisors (see below), whose sum is σ = 131144832. Its totient is φ = 11096064.

The previous prime is 41274911. The next prime is 41274913. The reversal of 41274912 is 21947214.

It is an interprime number because it is at equal distance from previous prime (41274911) and next prime (41274913).

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

It is a self number, because there is not a number n which added to its sum of digits gives 41274912.

It is not an unprimeable number, because it can be changed into a prime (41274911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9618 + ... + 13230.

It is an arithmetic number, because the mean of its divisors is an integer number (1366092).

Almost surely, 241274912 is an apocalyptic number.

41274912 is a gapful number since it is divisible by the number (42) 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 41274912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65572416).

41274912 is an abundant number, since it is smaller than the sum of its proper divisors (89869920).

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

41274912 is a wasteful number, since it uses less digits than its factorization.

41274912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3650 (or 3642 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 41274912 is about 6424.5553931770. Note that the first 3 decimals coincide. The cubic root of 41274912 is about 345.5907040538.

The spelling of 41274912 in words is "forty-one million, two hundred seventy-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 1428 1632 1904 2856 3613 3808 5712 7226 10839 11424 14452 21678 25291 28904 43356 50582 57808 61421 75873 86712 101164 115616 122842 151746 173424 184263 202328 245684 303492 346848 368526 404656 429947 491368 606984 737052 809312 859894 982736 1213968 1289841 1474104 1719788 1965472 2427936 2579682 2948208 3439576 5159364 5896416 6879152 10318728 13758304 20637456 41274912