Search a number
-
+
5055936 = 263171549
BaseRepresentation
bin10011010010010111000000
3100111212102220
4103102113000
52243242221
6300211040
760655224
oct23222700
910455386
105055936
112943666
121839a80
1310803a2
14958784
1569d0c6
hex4d25c0

5055936 has 56 divisors (see below), whose sum is σ = 14173200. Its totient is φ = 1585152.

The previous prime is 5055923. The next prime is 5055937. The reversal of 5055936 is 6395505.

It is a junction number, because it is equal to n+sod(n) for n = 5055897 and 5055906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5055937) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2490 + ... + 4038.

Almost surely, 25055936 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 5055936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7086600).

5055936 is an abundant number, since it is smaller than the sum of its proper divisors (9117264).

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

5055936 is a wasteful number, since it uses less digits than its factorization.

5055936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 20250, while the sum is 33.

The square root of 5055936 is about 2248.5408602025. The cubic root of 5055936 is about 171.6328928855.

It can be divided in two parts, 505 and 5936, that added together give a triangular number (6441 = T113).

The spelling of 5055936 in words is "five million, fifty-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1549 1632 3098 3264 4647 6196 9294 12392 18588 24784 26333 37176 49568 52666 74352 78999 99136 105332 148704 157998 210664 297408 315996 421328 631992 842656 1263984 1685312 2527968 5055936