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5479164 = 22361879
BaseRepresentation
bin10100111001101011111100
3101022101000000
4110321223330
52400313124
6313234300
764400145
oct24715374
911271000
105479164
113102639
121a02990
13119ac12
14a28acc
157336c9
hex539afc

5479164 has 42 divisors (see below), whose sum is σ = 14383880. Its totient is φ = 1825416.

The previous prime is 5479139. The next prime is 5479169. The reversal of 5479164 is 4619745.

5479164 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5479169) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1977 + ... + 3855.

Almost surely, 25479164 is an apocalyptic number.

5479164 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5479164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7191940).

5479164 is an abundant number, since it is smaller than the sum of its proper divisors (8904716).

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

5479164 is a wasteful number, since it uses less digits than its factorization.

5479164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1901 (or 1884 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 5479164 is about 2340.7614145829. The cubic root of 5479164 is about 176.2942306376.

The spelling of 5479164 in words is "five million, four hundred seventy-nine thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 1879 2916 3758 5637 7516 11274 16911 22548 33822 50733 67644 101466 152199 202932 304398 456597 608796 913194 1369791 1826388 2739582 5479164