Search a number
-
+
30797472 = 25317113167
BaseRepresentation
bin111010101111…
…0111010100000
32010221200012010
41311132322200
530341004342
63020032520
7522526356
oct165367240
963850163
1030797472
1116425662
12a392740
1364c3c74
1441397d6
152a8529c
hex1d5eea0

30797472 has 96 divisors (see below), whose sum is σ = 86873472. Its totient is φ = 9519104.

The previous prime is 30797447. The next prime is 30797513. The reversal of 30797472 is 27479703.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 30797472.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184333 + ... + 184499.

It is an arithmetic number, because the mean of its divisors is an integer number (904932).

Almost surely, 230797472 is an apocalyptic number.

30797472 is a gapful number since it is divisible by the number (32) 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 30797472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43436736).

30797472 is an abundant number, since it is smaller than the sum of its proper divisors (56076000).

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

30797472 is a wasteful number, since it uses less digits than its factorization.

30797472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 39.

The square root of 30797472 is about 5549.5470085404. The cubic root of 30797472 is about 313.4524651365.

It can be divided in two parts, 307 and 97472, that added together give a palindrome (97779).

The spelling of 30797472 in words is "thirty million, seven hundred ninety-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 113 136 167 204 226 272 334 339 408 452 501 544 668 678 816 904 1002 1336 1356 1632 1808 1921 2004 2672 2712 2839 3616 3842 4008 5344 5424 5678 5763 7684 8016 8517 10848 11356 11526 15368 16032 17034 18871 22712 23052 30736 34068 37742 45424 46104 56613 61472 68136 75484 90848 92208 113226 136272 150968 184416 226452 272544 301936 320807 452904 603872 641614 905808 962421 1283228 1811616 1924842 2566456 3849684 5132912 7699368 10265824 15398736 30797472