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63021056 = 21372157
BaseRepresentation
bin1111000001101…
…0000000000000
311101120210122012
43300122000000
5112113133211
610130432052
71363445600
oct360320000
9141523565
1063021056
113263471a
1219132628
1310097087
148526c00
1557ecd8b
hex3c1a000

63021056 has 84 divisors (see below), whose sum is σ = 147545298. Its totient is φ = 26836992.

The previous prime is 63021053. The next prime is 63021061. The reversal of 63021056 is 65012036.

It can be written as a sum of positive squares in only one way, i.e., 58003456 + 5017600 = 7616^2 + 2240^2 .

It is not an unprimeable number, because it can be changed into a prime (63021053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 401330 + ... + 401486.

Almost surely, 263021056 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 63021056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73772649).

63021056 is an abundant number, since it is smaller than the sum of its proper divisors (84524242).

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

63021056 is an equidigital number, since it uses as much as digits as its factorization.

63021056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 63021056 is about 7938.5802257079. The cubic root of 63021056 is about 397.9500454967.

The spelling of 63021056 in words is "sixty-three million, twenty-one thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 157 196 224 256 314 392 448 512 628 784 896 1024 1099 1256 1568 1792 2048 2198 2512 3136 3584 4096 4396 5024 6272 7168 7693 8192 8792 10048 12544 14336 15386 17584 20096 25088 28672 30772 35168 40192 50176 57344 61544 70336 80384 100352 123088 140672 160768 200704 246176 281344 321536 401408 492352 562688 643072 984704 1125376 1286144 1969408 2250752 3938816 4501504 7877632 9003008 15755264 31510528 63021056