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5067904 = 27172137
BaseRepresentation
bin10011010101010010000000
3100112110212011
4103111102000
52244133104
6300342304
761035142
oct23252200
910473764
105067904
112951656
121844994
13108597a
1495cc92
156a1904
hex4d5480

5067904 has 48 divisors (see below), whose sum is σ = 10803330. Its totient is φ = 2367488.

The previous prime is 5067901. The next prime is 5067943. The reversal of 5067904 is 4097605.

It can be written as a sum of positive squares in 3 ways, for example, as 5053504 + 14400 = 2248^2 + 120^2 .

It is not an unprimeable number, because it can be changed into a prime (5067901) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36924 + ... + 37060.

Almost surely, 25067904 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 5067904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5401665).

5067904 is an abundant number, since it is smaller than the sum of its proper divisors (5735426).

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

5067904 is a wasteful number, since it uses less digits than its factorization.

5067904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 5067904 is about 2251.2005685856. The cubic root of 5067904 is about 171.7682113061.

Subtracting from 5067904 its reverse (4097605), we obtain a cube (970299 = 993).

The spelling of 5067904 in words is "five million, sixty-seven thousand, nine hundred four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 137 272 274 289 544 548 578 1088 1096 1156 2176 2192 2312 2329 4384 4624 4658 8768 9248 9316 17536 18496 18632 36992 37264 39593 74528 79186 149056 158372 298112 316744 633488 1266976 2533952 5067904