Search a number
-
+
5426304 = 273131087
BaseRepresentation
bin10100101100110010000000
3101012200111020
4110230302000
52342120204
6312145440
764060062
oct24546200
911180436
105426304
113076954
121998280
13117cb40
14a13732
15722bd9
hex52cc80

5426304 has 64 divisors (see below), whose sum is σ = 15536640. Its totient is φ = 1668096.

The previous prime is 5426261. The next prime is 5426327. The reversal of 5426304 is 4036245.

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 an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4449 + ... + 5535.

It is an arithmetic number, because the mean of its divisors is an integer number (242760).

Almost surely, 25426304 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 5426304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7768320).

5426304 is an abundant number, since it is smaller than the sum of its proper divisors (10110336).

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

5426304 is a wasteful number, since it uses less digits than its factorization.

5426304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 5426304 is about 2329.4428518425. The cubic root of 5426304 is about 175.7254673111.

The spelling of 5426304 in words is "five million, four hundred twenty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1087 1248 1664 2174 2496 3261 4348 4992 6522 8696 13044 14131 17392 26088 28262 34784 42393 52176 56524 69568 84786 104352 113048 139136 169572 208704 226096 339144 417408 452192 678288 904384 1356576 1808768 2713152 5426304