Search a number
-
+
5202408 = 2331741311
BaseRepresentation
bin10011110110000111101000
3100210022100210
4103312013220
52312434113
6303301120
762135241
oct23660750
910708323
105202408
112a33712
1218aa7a0
131101c63
14995cc8
156cb6c3
hex4f61e8

5202408 has 64 divisors (see below), whose sum is σ = 14152320. Its totient is φ = 1587200.

The previous prime is 5202377. The next prime is 5202413. The reversal of 5202408 is 8042025.

5202408 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16573 + ... + 16883.

It is an arithmetic number, because the mean of its divisors is an integer number (221130).

Almost surely, 25202408 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 5202408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7076160).

5202408 is an abundant number, since it is smaller than the sum of its proper divisors (8949912).

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

5202408 is a wasteful number, since it uses less digits than its factorization.

5202408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 5202408 is about 2280.8787780152. The cubic root of 5202408 is about 173.2745592973.

The spelling of 5202408 in words is "five million, two hundred two thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 41 51 68 82 102 123 136 164 204 246 311 328 408 492 622 697 933 984 1244 1394 1866 2091 2488 2788 3732 4182 5287 5576 7464 8364 10574 12751 15861 16728 21148 25502 31722 38253 42296 51004 63444 76506 102008 126888 153012 216767 306024 433534 650301 867068 1300602 1734136 2601204 5202408