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40397712 = 24317311597
BaseRepresentation
bin1001101000011…
…0101110010000
32211000102020120
42122012232100
540320211322
64001510240
71000242405
oct232065620
984012216
1040397712
1120892443
1211642380
1384a5894
1455182ac
15382ea5c
hex2686b90

40397712 has 80 divisors (see below), whose sum is σ = 114135552. Its totient is φ = 12257280.

The previous prime is 40397701. The next prime is 40397719. The reversal of 40397712 is 21779304.

It is not an unprimeable number, because it can be changed into a prime (40397719) 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, 24498 + ... + 26094.

Almost surely, 240397712 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 40397712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57067776).

40397712 is an abundant number, since it is smaller than the sum of its proper divisors (73737840).

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

40397712 is a wasteful number, since it uses less digits than its factorization.

40397712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 40397712 is about 6355.9194456821. The cubic root of 40397712 is about 343.1249166061.

The spelling of 40397712 in words is "forty million, three hundred ninety-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 34 48 51 62 68 93 102 124 136 186 204 248 272 372 408 496 527 744 816 1054 1488 1581 1597 2108 3162 3194 4216 4791 6324 6388 8432 9582 12648 12776 19164 25296 25552 27149 38328 49507 54298 76656 81447 99014 108596 148521 162894 198028 217192 297042 325788 396056 434384 594084 651576 792112 841619 1188168 1303152 1683238 2376336 2524857 3366476 5049714 6732952 10099428 13465904 20198856 40397712