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5190952 = 2313193771
BaseRepresentation
bin10011110011010100101000
3100202201122111
4103303110220
52312102302
6303132104
762056654
oct23632450
910681574
105190952
112a26048
1218a4034
1310c9990
14991a64
156c80d7
hex4f3528

5190952 has 64 divisors (see below), whose sum is σ = 11491200. Its totient is φ = 2177280.

The previous prime is 5190947. The next prime is 5190953. The reversal of 5190952 is 2590915.

It is not an unprimeable number, because it can be changed into a prime (5190953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73077 + ... + 73147.

It is an arithmetic number, because the mean of its divisors is an integer number (179550).

Almost surely, 25190952 is an apocalyptic number.

5190952 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 5190952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5745600).

5190952 is an abundant number, since it is smaller than the sum of its proper divisors (6300248).

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

5190952 is a wasteful number, since it uses less digits than its factorization.

5190952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 31.

The square root of 5190952 is about 2278.3660812082. The cubic root of 5190952 is about 173.1472789950.

The spelling of 5190952 in words is "five million, one hundred ninety thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 19 26 37 38 52 71 74 76 104 142 148 152 247 284 296 481 494 568 703 923 962 988 1349 1406 1846 1924 1976 2627 2698 2812 3692 3848 5254 5396 5624 7384 9139 10508 10792 17537 18278 21016 34151 35074 36556 49913 68302 70148 73112 99826 136604 140296 199652 273208 399304 648869 1297738 2595476 5190952