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5127904 = 25376171
BaseRepresentation
bin10011100011111011100000
3100122112011101
4103203323200
52303043104
6301524144
761405105
oct23437340
910575141
105127904
112992741
121873654
1310a7082
14976aac
156b45a4
hex4e3ee0

5127904 has 48 divisors (see below), whose sum is σ = 10686816. Its totient is φ = 2419200.

The previous prime is 5127901. The next prime is 5127917. The reversal of 5127904 is 4097215.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5127901) 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, 72189 + ... + 72259.

It is an arithmetic number, because the mean of its divisors is an integer number (222642).

Almost surely, 25127904 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 5127904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5343408).

5127904 is an abundant number, since it is smaller than the sum of its proper divisors (5558912).

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

5127904 is a wasteful number, since it uses less digits than its factorization.

5127904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 5127904 is about 2264.4875800057. The cubic root of 5127904 is about 172.4434204975.

The spelling of 5127904 in words is "five million, one hundred twenty-seven thousand, nine hundred four".

Divisors: 1 2 4 8 16 32 37 61 71 74 122 142 148 244 284 296 488 568 592 976 1136 1184 1952 2257 2272 2627 4331 4514 5254 8662 9028 10508 17324 18056 21016 34648 36112 42032 69296 72224 84064 138592 160247 320494 640988 1281976 2563952 5127904