Search a number
-
+
23638464 = 263241039
BaseRepresentation
bin101101000101…
…1000111000000
31122110221212200
41122023013000
522022412324
62202353200
7404631543
oct132130700
948427780
1023638464
1112385a23
127abb800
134b88575
1431d485a
15211dec9
hex168b1c0

23638464 has 42 divisors (see below), whose sum is σ = 67757040. Its totient is φ = 7879296.

The previous prime is 23638463. The next prime is 23638487. The reversal of 23638464 is 46483632.

It is a happy number.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23638463) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19944 + ... + 21095.

Almost surely, 223638464 is an apocalyptic number.

23638464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23638464 is an abundant number, since it is smaller than the sum of its proper divisors (44118576).

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

23638464 is a wasteful number, since it uses less digits than its factorization.

23638464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41057 (or 41044 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 23638464 is about 4861.9403533980. The cubic root of 23638464 is about 286.9941764936.

The spelling of 23638464 in words is "twenty-three million, six hundred thirty-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 41039 82078 123117 164156 246234 328312 369351 492468 656624 738702 984936 1313248 1477404 1969872 2626496 2954808 3939744 5909616 7879488 11819232 23638464