Search a number
-
+
807904104 = 233714933221
BaseRepresentation
bin110000001001111…
…010001101101000
32002022012210002020
4300021322031220
53123310412404
6212100104440
726010033360
oct6011721550
92068183066
10807904104
1138504a347
121a6695120
13cb4bc787
14794259a0
154add8ed9
hex3027a368

807904104 has 64 divisors (see below), whose sum is σ = 2310560640. Its totient is φ = 230603520.

The previous prime is 807904099. The next prime is 807904129. The reversal of 807904104 is 401409708.

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, 249214 + ... + 252434.

It is an arithmetic number, because the mean of its divisors is an integer number (36102510).

Almost surely, 2807904104 is an apocalyptic number.

807904104 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

807904104 is an abundant number, since it is smaller than the sum of its proper divisors (1502656536).

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

807904104 is a wasteful number, since it uses less digits than its factorization.

807904104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4730 (or 4726 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 807904104 is about 28423.6539522983. The cubic root of 807904104 is about 931.3650528601.

The spelling of 807904104 in words is "eight hundred seven million, nine hundred four thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1493 2986 3221 4479 5972 6442 8958 9663 10451 11944 12884 17916 19326 20902 22547 25768 31353 35832 38652 41804 45094 62706 67641 77304 83608 90188 125412 135282 180376 250824 270564 541128 4808953 9617906 14426859 19235812 28853718 33662671 38471624 57707436 67325342 100988013 115414872 134650684 201976026 269301368 403952052 807904104