Search a number
-
+
63533696 = 276179103
BaseRepresentation
bin1111001001011…
…1001010000000
311102112211211212
43302113022000
5112231034241
610145425252
71401012302
oct362271200
9142484755
1063533696
1132954896
121933b228
1310216505
14861b972
15589ebeb
hex3c97280

63533696 has 64 divisors (see below), whose sum is σ = 131539200. Its totient is φ = 30551040.

The previous prime is 63533689. The next prime is 63533713. The reversal of 63533696 is 69633536.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 616781 + ... + 616883.

It is an arithmetic number, because the mean of its divisors is an integer number (2055300).

Almost surely, 263533696 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 63533696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65769600).

63533696 is an abundant number, since it is smaller than the sum of its proper divisors (68005504).

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

63533696 is a wasteful number, since it uses less digits than its factorization.

63533696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 245 counting only the distinct ones).

The product of its digits is 262440, while the sum is 41.

The square root of 63533696 is about 7970.8027199273. The cubic root of 63533696 is about 399.0261643678.

The spelling of 63533696 in words is "sixty-three million, five hundred thirty-three thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 61 64 79 103 122 128 158 206 244 316 412 488 632 824 976 1264 1648 1952 2528 3296 3904 4819 5056 6283 6592 7808 8137 9638 10112 12566 13184 16274 19276 25132 32548 38552 50264 65096 77104 100528 130192 154208 201056 260384 308416 402112 496357 520768 616832 804224 992714 1041536 1985428 3970856 7941712 15883424 31766848 63533696