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63277056 = 211323433
BaseRepresentation
bin1111000101100…
…0100000000000
311102001210210200
43301120200000
5112144331211
610140125200
71365563133
oct361304000
9142053720
1063277056
1132799a97
1219236800
131015675b
14859221a
15584db56
hex3c58800

63277056 has 72 divisors (see below), whose sum is σ = 182808990. Its totient is φ = 21086208.

The previous prime is 63277031. The next prime is 63277073. The reversal of 63277056 is 65077236.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 57517056 + 5760000 = 7584^2 + 2400^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 63277056.

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, 16716 + ... + 20148.

Almost surely, 263277056 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 63277056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91404495).

63277056 is an abundant number, since it is smaller than the sum of its proper divisors (119531934).

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

63277056 is a wasteful number, since it uses less digits than its factorization.

63277056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3461 (or 3438 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 63277056 is about 7954.6876745728. The cubic root of 63277056 is about 398.4881597131.

The spelling of 63277056 in words is "sixty-three million, two hundred seventy-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 3433 4608 6144 6866 9216 10299 13732 18432 20598 27464 30897 41196 54928 61794 82392 109856 123588 164784 219712 247176 329568 439424 494352 659136 878848 988704 1318272 1757696 1977408 2636544 3515392 3954816 5273088 7030784 7909632 10546176 15819264 21092352 31638528 63277056