Search a number
-
+
63252224 = 28747751
BaseRepresentation
bin1111000101001…
…0011100000000
311102000112201222
43301102130000
5112143032344
610135414212
71365430550
oct361223400
9142015658
1063252224
1132782372
1219224368
1310148369
148587160
1558465ee
hex3c52700

63252224 has 72 divisors (see below), whose sum is σ = 147560448. Its totient is φ = 26496000.

The previous prime is 63252209. The next prime is 63252227. The reversal of 63252224 is 42225236.

It is a junction number, because it is equal to n+sod(n) for n = 63252193 and 63252202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63252227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83849 + ... + 84599.

Almost surely, 263252224 is an apocalyptic number.

63252224 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63252224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73780224).

63252224 is an abundant number, since it is smaller than the sum of its proper divisors (84308224).

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

63252224 is an equidigital number, since it uses as much as digits as its factorization.

63252224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 807 counting only the distinct ones).

The product of its digits is 5760, while the sum is 26.

The square root of 63252224 is about 7953.1266807464. The cubic root of 63252224 is about 398.4360262685.

The spelling of 63252224 in words is "sixty-three million, two hundred fifty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 128 188 224 256 329 376 448 658 751 752 896 1316 1502 1504 1792 2632 3004 3008 5257 5264 6008 6016 10514 10528 12016 12032 21028 21056 24032 35297 42056 42112 48064 70594 84112 84224 96128 141188 168224 192256 247079 282376 336448 494158 564752 672896 988316 1129504 1345792 1976632 2259008 3953264 4518016 7906528 9036032 15813056 31626112 63252224