Search a number
-
+
13048464 = 24311131901
BaseRepresentation
bin110001110001…
…101010010000
3220112221010110
4301301222100
511320022324
61143401320
7215624112
oct61615220
926487113
1013048464
117402560
124453240
13291b2b0
141a393b2
15122b329
hexc71a90

13048464 has 80 divisors (see below), whose sum is σ = 39622464. Its totient is φ = 3648000.

The previous prime is 13048433. The next prime is 13048487. The reversal of 13048464 is 46484031.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5914 + ... + 7814.

Almost surely, 213048464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13048464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19811232).

13048464 is an abundant number, since it is smaller than the sum of its proper divisors (26574000).

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

13048464 is a wasteful number, since it uses less digits than its factorization.

13048464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1936 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 13048464 is about 3612.2657709532. The cubic root of 13048464 is about 235.4252989482.

The spelling of 13048464 in words is "thirteen million, forty-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 858 1144 1716 1901 2288 3432 3802 5703 6864 7604 11406 15208 20911 22812 24713 30416 41822 45624 49426 62733 74139 83644 91248 98852 125466 148278 167288 197704 250932 271843 296556 334576 395408 501864 543686 593112 815529 1003728 1087372 1186224 1631058 2174744 3262116 4349488 6524232 13048464