Search a number
-
+
5192936 = 237471973
BaseRepresentation
bin10011110011110011101000
3100202211100222
4103303303220
52312133221
6303145212
762065520
oct23636350
910684328
105192936
112a27591
1218a5208
1310ca858
14992680
156c89ab
hex4f3ce8

5192936 has 32 divisors (see below), whose sum is σ = 11370240. Its totient is φ = 2177088.

The previous prime is 5192927. The next prime is 5192959. The reversal of 5192936 is 6392915.

It is a junction number, because it is equal to n+sod(n) for n = 5192896 and 5192905.

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 7 ways as a sum of consecutive naturals, for example, 1646 + ... + 3618.

It is an arithmetic number, because the mean of its divisors is an integer number (355320).

Almost surely, 25192936 is an apocalyptic number.

5192936 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

5192936 is the 1316-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5192936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5685120).

5192936 is an abundant number, since it is smaller than the sum of its proper divisors (6177304).

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

5192936 is a wasteful number, since it uses less digits than its factorization.

5192936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033 (or 2029 counting only the distinct ones).

The product of its digits is 14580, while the sum is 35.

The square root of 5192936 is about 2278.8014393536. The cubic root of 5192936 is about 173.1693353503.

The spelling of 5192936 in words is "five million, one hundred ninety-two thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 47 56 94 188 329 376 658 1316 1973 2632 3946 7892 13811 15784 27622 55244 92731 110488 185462 370924 649117 741848 1298234 2596468 5192936