Search a number
-
+
23725152 = 2532117489
BaseRepresentation
bin101101010000…
…0010001100000
31122122100210100
41122200101200
522033201102
62204302400
7405442353
oct132402140
948570710
1023725152
1112435070
127b41a00
134bb8b69
14321829a
152139a1c
hex16a0460

23725152 has 72 divisors (see below), whose sum is σ = 73611720. Its totient is φ = 7188480.

The previous prime is 23725127. The next prime is 23725171. The reversal of 23725152 is 25152732.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 577 + ... + 6912.

It is an arithmetic number, because the mean of its divisors is an integer number (1022385).

Almost surely, 223725152 is an apocalyptic number.

23725152 is a gapful number since it is divisible by the number (22) 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 23725152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36805860).

23725152 is an abundant number, since it is smaller than the sum of its proper divisors (49886568).

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

23725152 is a wasteful number, since it uses less digits than its factorization.

23725152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7516 (or 7505 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 23725152 is about 4870.8471542433. The cubic root of 23725152 is about 287.3445743394.

Adding to 23725152 its reverse (25152732), we get a palindrome (48877884).

The spelling of 23725152 in words is "twenty-three million, seven hundred twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 7489 14978 22467 29956 44934 59912 67401 82379 89868 119824 134802 164758 179736 239648 247137 269604 329516 359472 494274 539208 659032 718944 741411 988548 1078416 1318064 1482822 1977096 2156832 2636128 2965644 3954192 5931288 7908384 11862576 23725152