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40641696 = 2533172767
BaseRepresentation
bin1001101100001…
…0010010100000
32211110210221000
42123002102200
540401013241
64011032000
71002306624
oct233022240
984423830
1040641696
1120a39787
121173b600
13855c954
14557d184
15387beb6
hex26c24a0

40641696 has 96 divisors (see below), whose sum is σ = 125556480. Its totient is φ = 12745728.

The previous prime is 40641661. The next prime is 40641709. The reversal of 40641696 is 69614604.

40641696 is a `hidden beast` number, since 4 + 0 + 641 + 6 + 9 + 6 = 666.

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

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 40641696.

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, 13305 + ... + 16071.

It is an arithmetic number, because the mean of its divisors is an integer number (1307880).

Almost surely, 240641696 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 40641696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62778240).

40641696 is an abundant number, since it is smaller than the sum of its proper divisors (84914784).

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

40641696 is a wasteful number, since it uses less digits than its factorization.

40641696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2803 (or 2789 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 40641696 is about 6375.0839994466. The cubic root of 40641696 is about 343.8143039591.

The spelling of 40641696 in words is "forty million, six hundred forty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 432 459 544 612 816 864 918 1224 1632 1836 2448 2767 3672 4896 5534 7344 8301 11068 14688 16602 22136 24903 33204 44272 47039 49806 66408 74709 88544 94078 99612 132816 141117 149418 188156 199224 265632 282234 298836 376312 398448 423351 564468 597672 752624 796896 846702 1128936 1195344 1270053 1505248 1693404 2257872 2390688 2540106 3386808 4515744 5080212 6773616 10160424 13547232 20320848 40641696