Search a number
-
+
5022072 = 23321117373
BaseRepresentation
bin10011001010000101111000
3100110010222200
4103022011320
52241201242
6255350200
760454416
oct23120570
910403880
105022072
112920180
121822360
13106ab53
1494a2b6
1569304c
hex4ca178

5022072 has 96 divisors (see below), whose sum is σ = 15752880. Its totient is φ = 1428480.

The previous prime is 5022067. The next prime is 5022079. The reversal of 5022072 is 2702205.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 53 + 0 + 22 + 212 + 0 + 77 + 222 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5022079) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13278 + ... + 13650.

Almost surely, 25022072 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 5022072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7876440).

5022072 is an abundant number, since it is smaller than the sum of its proper divisors (10730808).

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

5022072 is a wasteful number, since it uses less digits than its factorization.

5022072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 5022072 is about 2240.9979919670. The cubic root of 5022072 is about 171.2488425872.

Adding to 5022072 its reverse (2702205), we get a palindrome (7724277).

It can be divided in two parts, 50 and 22072, that added together give a palindrome (22122).

The spelling of 5022072 in words is "five million, twenty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 33 34 36 44 51 66 68 72 88 99 102 132 136 153 187 198 204 264 306 373 374 396 408 561 612 746 748 792 1119 1122 1224 1492 1496 1683 2238 2244 2984 3357 3366 4103 4476 4488 6341 6714 6732 8206 8952 12309 12682 13428 13464 16412 19023 24618 25364 26856 32824 36927 38046 49236 50728 57069 69751 73854 76092 98472 114138 139502 147708 152184 209253 228276 279004 295416 418506 456552 558008 627759 837012 1255518 1674024 2511036 5022072