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41940864 = 273272743
BaseRepresentation
bin1001111111111…
…1011110000000
32220220211001100
42133333132000
541214101424
64054534400
71016330400
oct237773600
986824040
1041940864
1121746879
1212067400
1388c60a4
1457da800
153a36dc9
hex27ff780

41940864 has 144 divisors (see below), whose sum is σ = 140582520. Its totient is φ = 11966976.

The previous prime is 41940859. The next prime is 41940889. The reversal of 41940864 is 46804914.

It is a happy number.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56077 + ... + 56819.

Almost surely, 241940864 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 41940864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70291260).

41940864 is an abundant number, since it is smaller than the sum of its proper divisors (98641656).

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

41940864 is a wasteful number, since it uses less digits than its factorization.

41940864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 41940864 is about 6476.1766498452. The cubic root of 41940864 is about 347.4394463437.

The spelling of 41940864 in words is "forty-one million, nine hundred forty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 128 144 147 168 192 196 224 252 288 294 336 384 392 441 448 504 576 588 672 743 784 882 896 1008 1152 1176 1344 1486 1568 1764 2016 2229 2352 2688 2972 3136 3528 4032 4458 4704 5201 5944 6272 6687 7056 8064 8916 9408 10402 11888 13374 14112 15603 17832 18816 20804 23776 26748 28224 31206 35664 36407 41608 46809 47552 53496 56448 62412 71328 72814 83216 93618 95104 106992 109221 124824 142656 145628 166432 187236 213984 218442 249648 285312 291256 327663 332864 374472 427968 436884 499296 582512 655326 665728 748944 855936 873768 998592 1165024 1310652 1497888 1747536 1997184 2330048 2621304 2995776 3495072 4660096 5242608 5991552 6990144 10485216 13980288 20970432 41940864