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23835456 = 263241381
BaseRepresentation
bin101101011101…
…1001101000000
31122211222002200
41122323031000
522100213311
62210513200
7406412061
oct132731500
948758080
1023835456
11124aaa27
127b95800
134c27128
143246568
15215c556
hex16bb340

23835456 has 42 divisors (see below), whose sum is σ = 68321682. Its totient is φ = 7944960.

The previous prime is 23835433. The next prime is 23835467. The reversal of 23835456 is 65453832.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 21013056 + 2822400 = 4584^2 + 1680^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 23835456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20115 + ... + 21266.

Almost surely, 223835456 is an apocalyptic number.

It is an amenable number.

23835456 is an abundant number, since it is smaller than the sum of its proper divisors (44486226).

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

23835456 is a wasteful number, since it uses less digits than its factorization.

23835456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41399 (or 41386 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 23835456 is about 4882.1569003874. The cubic root of 23835456 is about 287.7891975921.

The spelling of 23835456 in words is "twenty-three million, eight hundred thirty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 41381 82762 124143 165524 248286 331048 372429 496572 662096 744858 993144 1324192 1489716 1986288 2648384 2979432 3972576 5958864 7945152 11917728 23835456