Search a number
-
+
5807025342 = 2321719796331
BaseRepresentation
bin1010110100010000…
…00010110010111110
3112222200221110012200
411122020002302332
543343044302332
62400120412330
7263621621016
oct53210026276
915880843180
105807025342
11250aa070a8
1211609170a6
13717101391
143d1338c46
1523ec1a17c
hex15a202cbe

5807025342 has 48 divisors (see below), whose sum is σ = 13389762672. Its totient is φ = 1812545280.

The previous prime is 5807025311. The next prime is 5807025391. The reversal of 5807025342 is 2435207085.

5807025342 is a `hidden beast` number, since 58 + 0 + 70 + 2 + 534 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5807025297 and 5807025306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12117 + ... + 108447.

It is an arithmetic number, because the mean of its divisors is an integer number (278953389).

Almost surely, 25807025342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5807025342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6694881336).

5807025342 is an abundant number, since it is smaller than the sum of its proper divisors (7582737330).

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

5807025342 is a wasteful number, since it uses less digits than its factorization.

5807025342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96553 (or 96550 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 5807025342 is about 76203.8407299790. The cubic root of 5807025342 is about 1797.4269142878.

The spelling of 5807025342 in words is "five billion, eight hundred seven million, twenty-five thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 197 306 394 591 1182 1773 3349 3546 6698 10047 20094 30141 60282 96331 192662 288993 577986 866979 1637627 1733958 3275254 4912881 9825762 14738643 18977207 29477286 37954414 56931621 113863242 170794863 322612519 341589726 645225038 967837557 1935675114 2903512671 5807025342