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40640832 = 263329811
BaseRepresentation
bin1001101100001…
…0000101000000
32211110202202000
42123002011000
540401001312
64011024000
71002304251
oct233020500
984422660
1040640832
1120a39071
121173b000
13855c43b
14557cb28
15387badc
hex26c2140

40640832 has 112 divisors (see below), whose sum is σ = 123748800. Its totient is φ = 13063680.

The previous prime is 40640827. The next prime is 40640843. The reversal of 40640832 is 23804604.

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

It is a junction number, because it is equal to n+sod(n) for n = 40640796 and 40640805.

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, 49707 + ... + 50517.

It is an arithmetic number, because the mean of its divisors is an integer number (1104900).

Almost surely, 240640832 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 40640832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61874400).

40640832 is an abundant number, since it is smaller than the sum of its proper divisors (83107968).

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

40640832 is a wasteful number, since it uses less digits than its factorization.

40640832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 40640832 is about 6375.0162352734. The cubic root of 40640832 is about 343.8118675642.

The spelling of 40640832 in words is "forty million, six hundred forty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 144 174 192 216 232 261 288 348 432 464 522 576 696 783 811 864 928 1044 1392 1566 1622 1728 1856 2088 2433 2784 3132 3244 4176 4866 5568 6264 6488 7299 8352 9732 12528 12976 14598 16704 19464 21897 23519 25056 25952 29196 38928 43794 47038 50112 51904 58392 70557 77856 87588 94076 116784 141114 155712 175176 188152 211671 233568 282228 350352 376304 423342 467136 564456 635013 700704 752608 846684 1128912 1270026 1401408 1505216 1693368 2257824 2540052 3386736 4515648 5080104 6773472 10160208 13546944 20320416 40640832