Search a number
-
+
23047752 = 23371361173
BaseRepresentation
bin101011111101…
…0111001001000
31121100221120110
41113322321020
521400012002
62141554320
7366621420
oct127727110
947327513
1023047752
1112012132
1278759a0
134a0c730
1430bd480
152053e6c
hex15fae48

23047752 has 128 divisors (see below), whose sum is σ = 72495360. Its totient is φ = 5944320.

The previous prime is 23047751. The next prime is 23047753. The reversal of 23047752 is 25774032.

It is an interprime number because it is at equal distance from previous prime (23047751) and next prime (23047753).

It is not an unprimeable number, because it can be changed into a prime (23047751) 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, 133138 + ... + 133310.

It is an arithmetic number, because the mean of its divisors is an integer number (566370).

Almost surely, 223047752 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 23047752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36247680).

23047752 is an abundant number, since it is smaller than the sum of its proper divisors (49447608).

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

23047752 is a wasteful number, since it uses less digits than its factorization.

23047752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 30.

The square root of 23047752 is about 4800.8074320889. The cubic root of 23047752 is about 284.5833740179.

The spelling of 23047752 in words is "twenty-three million, forty-seven thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 61 78 84 91 104 122 156 168 173 182 183 244 273 312 346 364 366 427 488 519 546 692 728 732 793 854 1038 1092 1211 1281 1384 1464 1586 1708 2076 2184 2249 2379 2422 2562 3172 3416 3633 4152 4498 4758 4844 5124 5551 6344 6747 7266 8996 9516 9688 10248 10553 11102 13494 14532 15743 16653 17992 19032 21106 22204 26988 29064 31486 31659 33306 42212 44408 47229 53976 62972 63318 66612 73871 84424 94458 125944 126636 133224 137189 147742 188916 221613 253272 274378 295484 377832 411567 443226 548756 590968 823134 886452 960323 1097512 1646268 1772904 1920646 2880969 3292536 3841292 5761938 7682584 11523876 23047752