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5151952 = 2413173147
BaseRepresentation
bin10011101001110011010000
3100200202011001
4103221303100
52304330302
6302231344
761535161
oct23516320
910622131
105151952
1129a9813
121885554
1310b4cc0
14981768
156bb787
hex4e9cd0

5151952 has 80 divisors (see below), whose sum is σ = 11999232. Its totient is φ = 2119680.

The previous prime is 5151947. The next prime is 5151953. The reversal of 5151952 is 2591515.

It is a self number, because there is not a number n which added to its sum of digits gives 5151952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5151953) 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, 109593 + ... + 109639.

Almost surely, 25151952 is an apocalyptic number.

5151952 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 5151952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5999616).

5151952 is an abundant number, since it is smaller than the sum of its proper divisors (6847280).

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

5151952 is a wasteful number, since it uses less digits than its factorization.

5151952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 110 counting only the distinct ones).

The product of its digits is 2250, while the sum is 28.

The square root of 5151952 is about 2269.7911798225. The cubic root of 5151952 is about 172.7125657922.

It can be divided in two parts, 51 and 51952, that added together give a triangular number (52003 = T322).

The spelling of 5151952 in words is "five million, one hundred fifty-one thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 16 17 26 31 34 47 52 62 68 94 104 124 136 188 208 221 248 272 376 403 442 496 527 611 752 799 806 884 1054 1222 1457 1598 1612 1768 2108 2444 2914 3196 3224 3536 4216 4888 5828 6392 6448 6851 8432 9776 10387 11656 12784 13702 18941 20774 23312 24769 27404 37882 41548 49538 54808 75764 83096 99076 109616 151528 166192 198152 303056 321997 396304 643994 1287988 2575976 5151952