Search a number
-
+
5035888 = 2411133171
BaseRepresentation
bin10011001101011101110000
3100110211221101
4103031131300
52242122023
6255534144
760542614
oct23153560
910424841
105035888
11292a5a0
12182a354
131074220
14951344
156971ad
hex4cd770

5035888 has 80 divisors (see below), whose sum is σ = 11999232. Its totient is φ = 2016000.

The previous prime is 5035861. The next prime is 5035897. The reversal of 5035888 is 8885305.

It is a congruent number.

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, 70893 + ... + 70963.

Almost surely, 25035888 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 5035888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5999616).

5035888 is an abundant number, since it is smaller than the sum of its proper divisors (6963344).

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

5035888 is a wasteful number, since it uses less digits than its factorization.

5035888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

The square root of 5035888 is about 2244.0784300019. The cubic root of 5035888 is about 171.4057371703.

The spelling of 5035888 in words is "five million, thirty-five thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 31 44 52 62 71 88 104 124 142 143 176 208 248 284 286 341 403 496 568 572 682 781 806 923 1136 1144 1364 1562 1612 1846 2201 2288 2728 3124 3224 3692 4402 4433 5456 6248 6448 7384 8804 8866 10153 12496 14768 17608 17732 20306 24211 28613 35216 35464 40612 48422 57226 70928 81224 96844 114452 162448 193688 228904 314743 387376 457808 629486 1258972 2517944 5035888