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5046144 = 27317773
BaseRepresentation
bin10011001111111110000000
3100111101000020
4103033332000
52242434034
6300053440
760614535
oct23177600
910441006
105046144
112937274
121834280
131078aac
14954d8c
1569a249
hex4cff80

5046144 has 64 divisors (see below), whose sum is σ = 14210640. Its totient is φ = 1581056.

The previous prime is 5046133. The next prime is 5046163. The reversal of 5046144 is 4416405.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 6142 + ... + 6914.

Almost surely, 25046144 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 5046144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7105320).

5046144 is an abundant number, since it is smaller than the sum of its proper divisors (9164496).

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

5046144 is a wasteful number, since it uses less digits than its factorization.

5046144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 5046144 is about 2246.3623928476. The cubic root of 5046144 is about 171.5220188928.

It can be divided in two parts, 50461 and 44, that added together give a palindrome (50505).

The spelling of 5046144 in words is "five million, forty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 773 816 1088 1546 1632 2176 2319 3092 3264 4638 6184 6528 9276 12368 13141 18552 24736 26282 37104 39423 49472 52564 74208 78846 98944 105128 148416 157692 210256 296832 315384 420512 630768 841024 1261536 1682048 2523072 5046144