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5924295 = 3251321941
BaseRepresentation
bin10110100110010111000111
3102010222121100
4112212113013
53004034140
6330551143
7101232666
oct26462707
912128540
105924295
113387013
121b984b3
1312c5700
14b02ddd
157c0530
hex5a65c7

5924295 has 72 divisors (see below), whose sum is σ = 11990160. Its totient is φ = 2695680.

The previous prime is 5924293. The next prime is 5924297.

It is a happy number.

5924295 is nontrivially palindromic in base 10.

5924295 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5924293) and next prime (5924297).

It is not a de Polignac number, because 5924295 - 21 = 5924293 is a prime.

Its product of digits (32400) is a multiple of the sum of its prime divisors (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5924293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 144475 + ... + 144515.

It is an arithmetic number, because the mean of its divisors is an integer number (166530).

Almost surely, 25924295 is an apocalyptic number.

5924295 is an abundant number, since it is smaller than the sum of its proper divisors (6065865).

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

5924295 is a wasteful number, since it uses less digits than its factorization.

5924295 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 81 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 5924295 is about 2433.9874691543. The cubic root of 5924295 is about 180.9445716137.

The spelling of 5924295 in words is "five million, nine hundred twenty-four thousand, two hundred ninety-five".

Divisors: 1 3 5 9 13 15 19 39 41 45 57 65 95 117 123 169 171 195 205 247 285 369 507 533 585 615 741 779 845 855 1235 1521 1599 1845 2223 2337 2535 2665 3211 3705 3895 4797 6929 7011 7605 7995 9633 10127 11115 11685 16055 20787 23985 28899 30381 34645 35055 48165 50635 62361 91143 103935 131651 144495 151905 311805 394953 455715 658255 1184859 1974765 5924295