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807408054 = 233231494363
BaseRepresentation
bin110000001000000…
…001000110110110
32002021021120122000
4300020001012312
53123144024204
6212041320130
726002566225
oct6010010666
92067246560
10807408054
11384840692
121a6496046
13cb377a5b
1479336cbc
154ad3c039
hex302011b6

807408054 has 64 divisors (see below), whose sum is σ = 1885248000. Its totient is φ = 255648096.

The previous prime is 807408001. The next prime is 807408067. The reversal of 807408054 is 450804708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182877 + ... + 187239.

It is an arithmetic number, because the mean of its divisors is an integer number (29457000).

Almost surely, 2807408054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 807408054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942624000).

807408054 is an abundant number, since it is smaller than the sum of its proper divisors (1077839946).

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

807408054 is a wasteful number, since it uses less digits than its factorization.

807408054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4546 (or 4540 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 807408054 is about 28414.9266055712. The cubic root of 807408054 is about 931.1743956519.

The spelling of 807408054 in words is "eight hundred seven million, four hundred eight thousand, fifty-four".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 149 207 298 414 447 621 894 1242 1341 2682 3427 4023 4363 6854 8046 8726 10281 13089 20562 26178 30843 39267 61686 78534 92529 100349 117801 185058 200698 235602 301047 602094 650087 903141 1300174 1806282 1950261 2709423 3900522 5418846 5850783 11701566 14952001 17552349 29904002 35104698 44856003 89712006 134568009 269136018 403704027 807408054