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5017144 = 231127173
BaseRepresentation
bin10011001000111000111000
3100102220020011
4103020320320
52241022034
6255311304
760434146
oct23107070
910386204
105017144
112917500
12181b534
131068832
14948596
15691864
hex4c8e38

5017144 has 48 divisors (see below), whose sum is σ = 10629360. Its totient is φ = 2217600.

The previous prime is 5017141. The next prime is 5017231. The reversal of 5017144 is 4417105.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5017141) 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, 68692 + ... + 68764.

It is an arithmetic number, because the mean of its divisors is an integer number (221445).

Almost surely, 25017144 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 5017144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5314680).

5017144 is an abundant number, since it is smaller than the sum of its proper divisors (5612216).

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

5017144 is a wasteful number, since it uses less digits than its factorization.

5017144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 5017144 is about 2239.8982119730. The cubic root of 5017144 is about 171.1928105695.

The spelling of 5017144 in words is "five million, seventeen thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 71 73 88 121 142 146 242 284 292 484 568 584 781 803 968 1562 1606 3124 3212 5183 6248 6424 8591 8833 10366 17182 17666 20732 34364 35332 41464 57013 68728 70664 114026 228052 456104 627143 1254286 2508572 5017144