Search a number
-
+
63768288 = 253664253
BaseRepresentation
bin1111001101000…
…0011011100000
311102222202122110
43303100123200
5112311041123
610154435320
71403010243
oct363203340
9142882573
1063768288
1132aa5071
1219432b40
131029921c
14867d25a
1558e9493
hex3cd06e0

63768288 has 24 divisors (see below), whose sum is σ = 167392008. Its totient is φ = 21256064.

The previous prime is 63768283. The next prime is 63768293. The reversal of 63768288 is 88286736.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (63768283) and next prime (63768293).

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63768281) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 332031 + ... + 332222.

It is an arithmetic number, because the mean of its divisors is an integer number (6974667).

Almost surely, 263768288 is an apocalyptic number.

It is an amenable number.

63768288 is an abundant number, since it is smaller than the sum of its proper divisors (103623720).

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

63768288 is a wasteful number, since it uses less digits than its factorization.

63768288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664266 (or 664258 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 63768288 is about 7985.5048681971. The cubic root of 63768288 is about 399.5166829134.

The spelling of 63768288 in words is "sixty-three million, seven hundred sixty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 664253 1328506 1992759 2657012 3985518 5314024 7971036 10628048 15942072 21256096 31884144 63768288