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5479956 = 2232292181
BaseRepresentation
bin10100111001111000010100
3101022102002100
4110321320110
52400324311
6313242100
764402356
oct24717024
911272070
105479956
113103199
121a03330
13119b3a1
14a290d6
15733a56
hex539e14

5479956 has 54 divisors (see below), whose sum is σ = 14425502. Its totient is φ = 1753920.

The previous prime is 5479951. The next prime is 5479987. The reversal of 5479956 is 6599745.

It is a happy number.

5479956 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 32400 + 5447556 = 180^2 + 2334^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5479951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 30186 + ... + 30366.

Almost surely, 25479956 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 5479956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7212751).

5479956 is an abundant number, since it is smaller than the sum of its proper divisors (8945546).

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

5479956 is a wasteful number, since it uses less digits than its factorization.

5479956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 215 counting only the distinct ones).

The product of its digits is 340200, while the sum is 45.

The square root of 5479956 is about 2340.9305841908. The cubic root of 5479956 is about 176.3027245309.

The spelling of 5479956 in words is "five million, four hundred seventy-nine thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 181 261 348 362 522 543 724 841 1044 1086 1629 1682 2172 2523 3258 3364 5046 5249 6516 7569 10092 10498 15138 15747 20996 30276 31494 47241 62988 94482 152221 188964 304442 456663 608884 913326 1369989 1826652 2739978 5479956