Search a number
-
+
5532072 = 23371317149
BaseRepresentation
bin10101000110100110101000
3101102001120120
4111012212220
52404011242
6314323240
765010330
oct25064650
911361516
105532072
113139367
121a29520
1311b9020
14a400c0
157441ec
hex5469a8

5532072 has 128 divisors (see below), whose sum is σ = 18144000. Its totient is φ = 1363968.

The previous prime is 5532071. The next prime is 5532083. The reversal of 5532072 is 2702355.

It is a super-2 number, since 2×55320722 = 61207641226368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5532071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37054 + ... + 37202.

It is an arithmetic number, because the mean of its divisors is an integer number (141750).

Almost surely, 25532072 is an apocalyptic number.

5532072 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 5532072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9072000).

5532072 is an abundant number, since it is smaller than the sum of its proper divisors (12611928).

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

5532072 is a wasteful number, since it uses less digits than its factorization.

5532072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 5532072 is about 2352.0357140146. The cubic root of 5532072 is about 176.8598590676.

The spelling of 5532072 in words is "five million, five hundred thirty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 17 21 24 26 28 34 39 42 51 52 56 68 78 84 91 102 104 119 136 149 156 168 182 204 221 238 273 298 312 357 364 408 442 447 476 546 596 663 714 728 884 894 952 1043 1092 1192 1326 1428 1547 1768 1788 1937 2086 2184 2533 2652 2856 3094 3129 3576 3874 4172 4641 5066 5304 5811 6188 6258 7599 7748 8344 9282 10132 11622 12376 12516 13559 15198 15496 17731 18564 20264 23244 25032 27118 30396 32929 35462 37128 40677 46488 53193 54236 60792 65858 70924 81354 98787 106386 108472 131716 141848 162708 197574 212772 230503 263432 325416 395148 425544 461006 691509 790296 922012 1383018 1844024 2766036 5532072