Search a number
-
+
5906264 = 2372131961
BaseRepresentation
bin10110100001111101011000
3102010001212112
4112201331120
53003000024
6330331452
7101126300
oct26417530
912101775
105906264
113374511
121b89b88
1312ba440
14ada600
157ba00e
hex5a1f58

5906264 has 96 divisors (see below), whose sum is σ = 14842800. Its totient is φ = 2177280.

The previous prime is 5906261. The next prime is 5906269. The reversal of 5906264 is 4626095.

5906264 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

5906264 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 5906264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5906261) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96794 + ... + 96854.

Almost surely, 25906264 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 5906264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7421400).

5906264 is an abundant number, since it is smaller than the sum of its proper divisors (8936536).

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

5906264 is a wasteful number, since it uses less digits than its factorization.

5906264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 5906264 is about 2430.2806422304. The cubic root of 5906264 is about 180.7608126363.

The spelling of 5906264 in words is "five million, nine hundred six thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 19 26 28 38 49 52 56 61 76 91 98 104 122 133 152 182 196 244 247 266 364 392 427 488 494 532 637 728 793 854 931 988 1064 1159 1274 1586 1708 1729 1862 1976 2318 2548 2989 3172 3416 3458 3724 4636 5096 5551 5978 6344 6916 7448 8113 9272 11102 11956 12103 13832 15067 16226 22204 23912 24206 30134 32452 38857 44408 48412 56791 60268 64904 77714 96824 105469 113582 120536 155428 210938 227164 310856 421876 454328 738283 843752 1476566 2953132 5906264