Search a number
-
+
5037136 = 241361397
BaseRepresentation
bin10011001101110001010000
3100110220122121
4103031301100
52242142021
6255544024
760546346
oct23156120
910426577
105037136
112930525
12182b014
131074970
14951996
15697741
hex4cdc50

5037136 has 40 divisors (see below), whose sum is σ = 10709384. Its totient is φ = 2280960.

The previous prime is 5037101. The next prime is 5037157. The reversal of 5037136 is 6317305.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1600 + 5035536 = 40^2 + 2244^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5037136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12490 + ... + 12886.

Almost surely, 25037136 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 5037136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5354692).

5037136 is an abundant number, since it is smaller than the sum of its proper divisors (5672248).

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

5037136 is a wasteful number, since it uses less digits than its factorization.

5037136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 25.

The square root of 5037136 is about 2244.3564779241. The cubic root of 5037136 is about 171.4198953281.

The spelling of 5037136 in words is "five million, thirty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 52 61 104 122 208 244 397 488 793 794 976 1586 1588 3172 3176 5161 6344 6352 10322 12688 20644 24217 41288 48434 82576 96868 193736 314821 387472 629642 1259284 2518568 5037136