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23628432 = 243895531
BaseRepresentation
bin101101000100…
…0101010010000
31122110110010010
41122020222100
522022102212
62202234520
7404560362
oct132105220
948413103
1023628432
1112379433
127ab5a40
134b83b29
1431d0d32
15211b03c
hex1688a90

23628432 has 40 divisors (see below), whose sum is σ = 61737120. Its totient is φ = 7786240.

The previous prime is 23628403. The next prime is 23628433. The reversal of 23628432 is 23482632.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 23628432.

It is not an unprimeable number, because it can be changed into a prime (23628433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1507 + ... + 7037.

It is an arithmetic number, because the mean of its divisors is an integer number (1543428).

Almost surely, 223628432 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 23628432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30868560).

23628432 is an abundant number, since it is smaller than the sum of its proper divisors (38108688).

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

23628432 is a wasteful number, since it uses less digits than its factorization.

23628432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5631 (or 5625 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 23628432 is about 4860.9085570498. The cubic root of 23628432 is about 286.9535713036.

The spelling of 23628432 in words is "twenty-three million, six hundred twenty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 89 178 267 356 534 712 1068 1424 2136 4272 5531 11062 16593 22124 33186 44248 66372 88496 132744 265488 492259 984518 1476777 1969036 2953554 3938072 5907108 7876144 11814216 23628432