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40676400 = 24325211299
BaseRepresentation
bin1001101100101…
…0110000110000
32211112120112100
42123022300300
540403121100
64011500400
71002513042
oct233126060
984476470
1040676400
1120a62866
1211757700
13857269b
14558ba92
153887400
hex26cac30

40676400 has 90 divisors (see below), whose sum is σ = 141170900. Its totient is φ = 10846080.

The previous prime is 40676341. The next prime is 40676401. The reversal of 40676400 is 467604.

It is a tau number, because it is divible by the number of its divisors (90).

It is not an unprimeable number, because it can be changed into a prime (40676401) 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 17 ways as a sum of consecutive naturals, for example, 2050 + ... + 9249.

Almost surely, 240676400 is an apocalyptic number.

40676400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40676400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70585450).

40676400 is an abundant number, since it is smaller than the sum of its proper divisors (100494500).

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

40676400 is a wasteful number, since it uses less digits than its factorization.

40676400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11323 (or 11309 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 40676400 is about 6377.8052651363. The cubic root of 40676400 is about 343.9121372864.

The spelling of 40676400 in words is "forty million, six hundred seventy-six thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 11299 22598 33897 45196 56495 67794 90392 101691 112990 135588 169485 180784 203382 225980 271176 282475 338970 406764 451960 508455 542352 564950 677940 813528 847425 903920 1016910 1129900 1355880 1627056 1694850 2033820 2259800 2542275 2711760 3389700 4067640 4519600 5084550 6779400 8135280 10169100 13558800 20338200 40676400