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40939392 = 2731359139
BaseRepresentation
bin1001110000101…
…0111110000000
32212000221021210
42130022332000
540440030032
64021250120
71004656554
oct234127600
985027253
1040939392
112112240a
1211863940
1386352c0
145619864
1538da2cc
hex270af80

40939392 has 128 divisors (see below), whose sum is σ = 119952000. Its totient is φ = 12294144.

The previous prime is 40939391. The next prime is 40939399. The reversal of 40939392 is 29393904.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 40939392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40939391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294459 + ... + 294597.

It is an arithmetic number, because the mean of its divisors is an integer number (937125).

Almost surely, 240939392 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 40939392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59976000).

40939392 is an abundant number, since it is smaller than the sum of its proper divisors (79012608).

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

40939392 is a wasteful number, since it uses less digits than its factorization.

40939392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 39.

The square root of 40939392 is about 6398.3897974412. The cubic root of 40939392 is about 344.6517300429.

The spelling of 40939392 in words is "forty million, nine hundred thirty-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 59 64 78 96 104 118 128 139 156 177 192 208 236 278 312 354 384 416 417 472 556 624 708 767 832 834 944 1112 1248 1416 1534 1664 1668 1807 1888 2224 2301 2496 2832 3068 3336 3614 3776 4448 4602 4992 5421 5664 6136 6672 7228 7552 8201 8896 9204 10842 11328 12272 13344 14456 16402 17792 18408 21684 22656 24544 24603 26688 28912 32804 36816 43368 49088 49206 53376 57824 65608 73632 86736 98176 98412 106613 115648 131216 147264 173472 196824 213226 231296 262432 294528 319839 346944 393648 426452 524864 639678 693888 787296 852904 1049728 1279356 1574592 1705808 2558712 3149184 3411616 5117424 6823232 10234848 13646464 20469696 40939392