Search a number
-
+
23152528 = 247372151
BaseRepresentation
bin101100001010…
…0011110010000
31121120021022001
41120110132100
521411340103
62144123344
7400536040
oct130243620
947507261
1023152528
1112083923
127906554
134a48329
143109720
15207501d
hex1614790

23152528 has 60 divisors (see below), whose sum is σ = 53038272. Its totient is φ = 9590400.

The previous prime is 23152523. The next prime is 23152543. The reversal of 23152528 is 82525132.

It is a Harshad number since it is a multiple of its sum of digits (28).

Its product of digits (4800) is a multiple of the sum of its prime factors (240).

It is a junction number, because it is equal to n+sod(n) for n = 23152496 and 23152505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23152523) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153253 + ... + 153403.

Almost surely, 223152528 is an apocalyptic number.

23152528 is a gapful number since it is divisible by the number (28) 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 23152528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26519136).

23152528 is an abundant number, since it is smaller than the sum of its proper divisors (29885744).

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

23152528 is a wasteful number, since it uses less digits than its factorization.

23152528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 197 counting only the distinct ones).

The product of its digits is 4800, while the sum is 28.

The square root of 23152528 is about 4811.7073892746. The cubic root of 23152528 is about 285.0139646384.

The spelling of 23152528 in words is "twenty-three million, one hundred fifty-two thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 148 151 259 296 302 518 592 604 1036 1057 1208 1369 2072 2114 2416 2738 4144 4228 5476 5587 8456 9583 10952 11174 16912 19166 21904 22348 38332 39109 44696 76664 78218 89392 153328 156436 206719 312872 413438 625744 826876 1447033 1653752 2894066 3307504 5788132 11576264 23152528