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41412816 = 2433175639
BaseRepresentation
bin1001110111111…
…0100011010000
32212220222201000
42131332203100
541100202231
64035342000
71012001034
oct235764320
985828630
1041412816
1121416075
1211a51900
13876c933
1457001c4
1539806e6
hex277e8d0

41412816 has 80 divisors (see below), whose sum is σ = 125884800. Its totient is φ = 12989952.

The previous prime is 41412797. The next prime is 41412851. The reversal of 41412816 is 61821414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 41412816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4525 + ... + 10163.

It is an arithmetic number, because the mean of its divisors is an integer number (1573560).

Almost surely, 241412816 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 41412816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62942400).

41412816 is an abundant number, since it is smaller than the sum of its proper divisors (84471984).

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

41412816 is a wasteful number, since it uses less digits than its factorization.

41412816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5673 (or 5661 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 41412816 is about 6435.2790149301. The cubic root of 41412816 is about 345.9751616593.

The spelling of 41412816 in words is "forty-one million, four hundred twelve thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 2448 3672 5639 7344 11278 16917 22556 33834 45112 50751 67668 90224 95863 101502 135336 152253 191726 203004 270672 287589 304506 383452 406008 575178 609012 766904 812016 862767 1150356 1218024 1533808 1725534 2300712 2436048 2588301 3451068 4601424 5176602 6902136 10353204 13804272 20706408 41412816