Search a number
-
+
5061888 = 2832133
BaseRepresentation
bin10011010011110100000000
3100112011121100
4103103310000
52243440023
6300254400
761011456
oct23236400
910464540
105061888
112948087
121841400
131083000
1495a9d6
1569ec43
hex4d3d00

5061888 has 108 divisors (see below), whose sum is σ = 15810340. Its totient is φ = 1557504.

The previous prime is 5061887. The next prime is 5061907. The reversal of 5061888 is 8881605.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 186624 + 4875264 = 432^2 + 2208^2 .

It is a super-3 number, since 3×50618883 (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5061883) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 389370 + ... + 389382.

Almost surely, 25061888 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 5061888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7905170).

5061888 is an abundant number, since it is smaller than the sum of its proper divisors (10748452).

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

5061888 is an equidigital number, since it uses as much as digits as its factorization.

5061888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 5061888 is about 2249.8639958895. The cubic root of 5061888 is about 171.7002169425.

5061888 divided by its sum of digits (36) gives a cube (140608 = 523).

The spelling of 5061888 in words is "five million, sixty-one thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 169 192 208 234 256 288 312 338 384 416 468 507 576 624 676 768 832 936 1014 1152 1248 1352 1521 1664 1872 2028 2197 2304 2496 2704 3042 3328 3744 4056 4394 4992 5408 6084 6591 7488 8112 8788 9984 10816 12168 13182 14976 16224 17576 19773 21632 24336 26364 29952 32448 35152 39546 43264 48672 52728 64896 70304 79092 97344 105456 129792 140608 158184 194688 210912 281216 316368 389376 421824 562432 632736 843648 1265472 1687296 2530944 5061888