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40823904 = 2531167577
BaseRepresentation
bin1001101110111…
…0110001100000
32211211001212110
42123232301200
540422331104
64014555320
71003666062
oct233566140
984731773
1040823904
1121053670
1211808b40
1385c4874
1455c9732
1538b5e89
hex26eec60

40823904 has 96 divisors (see below), whose sum is σ = 118855296. Its totient is φ = 12165120.

The previous prime is 40823891. The next prime is 40823911. The reversal of 40823904 is 40932804.

It is a happy number.

40823904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×408239042 = 3333182275602432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70464 + ... + 71040.

It is an arithmetic number, because the mean of its divisors is an integer number (1238076).

Almost surely, 240823904 is an apocalyptic number.

40823904 is a gapful number since it is divisible by the number (44) 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 40823904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59427648).

40823904 is an abundant number, since it is smaller than the sum of its proper divisors (78031392).

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

40823904 is a wasteful number, since it uses less digits than its factorization.

40823904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 40823904 is about 6389.3586532609. The cubic root of 40823904 is about 344.3273429967.

Subtracting 40823904 from its reverse (40932804), we obtain a square (108900 = 3302).

The spelling of 40823904 in words is "forty million, eight hundred twenty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 67 88 96 132 134 176 201 264 268 352 402 528 536 577 737 804 1056 1072 1154 1474 1608 1731 2144 2211 2308 2948 3216 3462 4422 4616 5896 6347 6432 6924 8844 9232 11792 12694 13848 17688 18464 19041 23584 25388 27696 35376 38082 38659 50776 55392 70752 76164 77318 101552 115977 152328 154636 203104 231954 304656 309272 425249 463908 609312 618544 850498 927816 1237088 1275747 1700996 1855632 2551494 3401992 3711264 5102988 6803984 10205976 13607968 20411952 40823904