Search a number
-
+
5079672 = 23361367
BaseRepresentation
bin10011011000001001111000
3100120002000000
4103120021320
52300022142
6300513000
761114353
oct23301170
910502000
105079672
11295a484
12184b760
13108b130
1496329a
156a514c
hex4d8278

5079672 has 112 divisors (see below), whose sum is σ = 15608040. Its totient is φ = 1539648.

The previous prime is 5079667. The next prime is 5079673. The reversal of 5079672 is 2769705.

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 (5079673) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 75783 + ... + 75849.

Almost surely, 25079672 is an apocalyptic number.

5079672 is a gapful number since it is divisible by the number (52) 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 5079672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7804020).

5079672 is an abundant number, since it is smaller than the sum of its proper divisors (10528368).

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

5079672 is a wasteful number, since it uses less digits than its factorization.

5079672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 5079672 is about 2253.8127695086. The cubic root of 5079672 is about 171.9010608196.

The spelling of 5079672 in words is "five million, seventy-nine thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 67 72 78 81 104 108 117 134 156 162 201 216 234 243 268 312 324 351 402 468 486 536 603 648 702 729 804 871 936 972 1053 1206 1404 1458 1608 1742 1809 1944 2106 2412 2613 2808 2916 3159 3484 3618 4212 4824 5226 5427 5832 6318 6968 7236 7839 8424 9477 10452 10854 12636 14472 15678 16281 18954 20904 21708 23517 25272 31356 32562 37908 43416 47034 48843 62712 65124 70551 75816 94068 97686 130248 141102 188136 195372 211653 282204 390744 423306 564408 634959 846612 1269918 1693224 2539836 5079672