Search a number
-
+
5808972 = 22313231619
BaseRepresentation
bin10110001010001101001100
3101221010102010
4112022031030
52441341342
6324301220
7100242531
oct26121514
911833363
105808972
113308404
121b41810
131285080
14ab2d88
1579b29c
hex58a34c

5808972 has 48 divisors (see below), whose sum is σ = 15240960. Its totient is φ = 1708608.

The previous prime is 5808947. The next prime is 5808973. The reversal of 5808972 is 2798085.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 5808972.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5808973) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2779 + ... + 4397.

It is an arithmetic number, because the mean of its divisors is an integer number (317520).

Almost surely, 25808972 is an apocalyptic number.

5808972 is a gapful number since it is divisible by the number (52) 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 5808972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7620480).

5808972 is an abundant number, since it is smaller than the sum of its proper divisors (9431988).

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

5808972 is a wasteful number, since it uses less digits than its factorization.

5808972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 5808972 is about 2410.1809060732. The cubic root of 5808972 is about 179.7627739115.

It can be divided in two parts, 5808 and 972, that multiplied together give a square (5645376 = 23762).

The spelling of 5808972 in words is "five million, eight hundred eight thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 276 299 598 897 1196 1619 1794 3238 3588 4857 6476 9714 19428 21047 37237 42094 63141 74474 84188 111711 126282 148948 223422 252564 446844 484081 968162 1452243 1936324 2904486 5808972