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5005044 = 2233112383
BaseRepresentation
bin10011000101111011110100
3100102021122000
4103011323310
52240130134
6255135300
760353652
oct23057364
910367560
105005044
112909400
121814530
131063185
14943dd2
1568ce99
hex4c5ef4

5005044 has 72 divisors (see below), whose sum is σ = 14300160. Its totient is φ = 1512720.

The previous prime is 5005031. The next prime is 5005057. The reversal of 5005044 is 4405005.

It is a happy number.

5005044 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5005031) and next prime (5005057).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12877 + ... + 13259.

Almost surely, 25005044 is an apocalyptic number.

5005044 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5005044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7150080).

5005044 is an abundant number, since it is smaller than the sum of its proper divisors (9295116).

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

5005044 is a wasteful number, since it uses less digits than its factorization.

5005044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 5005044 is about 2237.1955658815. The cubic root of 5005044 is about 171.0550761341.

The spelling of 5005044 in words is "five million, five thousand, forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 121 132 198 242 297 363 383 396 484 594 726 766 1089 1149 1188 1452 1532 2178 2298 3267 3447 4213 4356 4596 6534 6894 8426 10341 12639 13068 13788 16852 20682 25278 37917 41364 46343 50556 75834 92686 113751 139029 151668 185372 227502 278058 417087 455004 556116 834174 1251261 1668348 2502522 5005044