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40457368 = 23723101311
BaseRepresentation
bin1001101001010…
…1010010011000
32211010110002001
42122111102120
540324113433
64003050344
71000611340
oct232252230
984113061
1040457368
1120923246
12116709b4
1384c6a93
145531d20
15384257d
hex2695498

40457368 has 64 divisors (see below), whose sum is σ = 91653120. Its totient is φ = 16368000.

The previous prime is 40457363. The next prime is 40457371. The reversal of 40457368 is 86375404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40457363) 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, 129933 + ... + 130243.

It is an arithmetic number, because the mean of its divisors is an integer number (1432080).

Almost surely, 240457368 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 40457368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45826560).

40457368 is an abundant number, since it is smaller than the sum of its proper divisors (51195752).

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

40457368 is a wasteful number, since it uses less digits than its factorization.

40457368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 40457368 is about 6360.6106625072. The cubic root of 40457368 is about 343.2937330349.

The spelling of 40457368 in words is "forty million, four hundred fifty-seven thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 101 161 184 202 311 322 404 622 644 707 808 1244 1288 1414 2177 2323 2488 2828 4354 4646 5656 7153 8708 9292 14306 16261 17416 18584 28612 31411 32522 50071 57224 62822 65044 100142 125644 130088 200284 219877 251288 400568 439754 722453 879508 1444906 1759016 2889812 5057171 5779624 10114342 20228684 40457368