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63423024 = 2437316089
BaseRepresentation
bin1111000111110…
…0001000110000
311102100020000220
43301330020300
5112214014044
610143213040
71400041530
oct361741060
9142306026
1063423024
1132889725
12192a7180
13101a8022
1485cd4c0
15587c019
hex3c7c230

63423024 has 80 divisors (see below), whose sum is σ = 193320960. Its totient is φ = 17533440.

The previous prime is 63423001. The next prime is 63423037. The reversal of 63423024 is 42032436.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 63422985 and 63423003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7372 + ... + 13460.

It is an arithmetic number, because the mean of its divisors is an integer number (2416512).

Almost surely, 263423024 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 63423024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96660480).

63423024 is an abundant number, since it is smaller than the sum of its proper divisors (129897936).

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

63423024 is a wasteful number, since it uses less digits than its factorization.

63423024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6138 (or 6132 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 63423024 is about 7963.8573568341. The cubic root of 63423024 is about 398.7943362552.

The spelling of 63423024 in words is "sixty-three million, four hundred twenty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 1302 1488 1736 2604 3472 5208 6089 10416 12178 18267 24356 36534 42623 48712 73068 85246 97424 127869 146136 170492 188759 255738 292272 340984 377518 511476 566277 681968 755036 1022952 1132554 1321313 1510072 2045904 2265108 2642626 3020144 3963939 4530216 5285252 7927878 9060432 10570504 15855756 21141008 31711512 63423024