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23452032 = 273157389
BaseRepresentation
bin101100101110…
…1100110000000
31122010111010210
41121131212000
522000431112
62154354120
7403224162
oct131354600
948114123
1023452032
111226894a
127a2b940
134b21756
143186932
1520d3b3c
hex165d980

23452032 has 64 divisors (see below), whose sum is σ = 62852400. Its totient is φ = 7747584.

The previous prime is 23451997. The next prime is 23452049. The reversal of 23452032 is 23025432.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60094 + ... + 60482.

Almost surely, 223452032 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 23452032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31426200).

23452032 is an abundant number, since it is smaller than the sum of its proper divisors (39400368).

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

23452032 is a wasteful number, since it uses less digits than its factorization.

23452032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 23452032 is about 4842.7298086926. The cubic root of 23452032 is about 286.2376950400.

Adding to 23452032 its reverse (23025432), we get a palindrome (46477464).

The spelling of 23452032 in words is "twenty-three million, four hundred fifty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 157 192 314 384 389 471 628 778 942 1167 1256 1556 1884 2334 2512 3112 3768 4668 5024 6224 7536 9336 10048 12448 15072 18672 20096 24896 30144 37344 49792 60288 61073 74688 122146 149376 183219 244292 366438 488584 732876 977168 1465752 1954336 2931504 3908672 5863008 7817344 11726016 23452032