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63012416 = 261138713
BaseRepresentation
bin1111000001011…
…1111001000000
311101120100210012
43300113321000
5112112344131
610130324052
71363411445
oct360277100
9141510705
1063012416
1132629185
1219129628
131009316c
1485239cc
1557ea52b
hex3c17e40

63012416 has 28 divisors (see below), whose sum is σ = 126161292. Its totient is φ = 31223808.

The previous prime is 63012401. The next prime is 63012427. The reversal of 63012416 is 61421036.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 30294016 + 32718400 = 5504^2 + 5720^2 .

It is a junction number, because it is equal to n+sod(n) for n = 63012391 and 63012400.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2876 + ... + 11588.

Almost surely, 263012416 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 63012416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63080646).

63012416 is an abundant number, since it is smaller than the sum of its proper divisors (63148876).

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

63012416 is a wasteful number, since it uses less digits than its factorization.

63012416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8838 (or 8828 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 63012416 is about 7938.0360291447. The cubic root of 63012416 is about 397.9318587416.

The spelling of 63012416 in words is "sixty-three million, twelve thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 113 226 452 904 1808 3616 7232 8713 17426 34852 69704 139408 278816 557632 984569 1969138 3938276 7876552 15753104 31506208 63012416