Search a number
-
+
63332416 = 267373379
BaseRepresentation
bin1111000110011…
…0000001000000
311102011121202001
43301212001000
5112203114131
610141233344
71366213420
oct361460100
9142147661
1063332416
1132827644
1219262854
1310175a04
1485a8480
155860261
hex3c66040

63332416 has 56 divisors (see below), whose sum is σ = 144393920. Its totient is φ = 26998272.

The previous prime is 63332407. The next prime is 63332417. The reversal of 63332416 is 61423336.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (63332417) 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, 166915 + ... + 167293.

Almost surely, 263332416 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 63332416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72196960).

63332416 is an abundant number, since it is smaller than the sum of its proper divisors (81061504).

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

63332416 is a wasteful number, since it uses less digits than its factorization.

63332416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 761 counting only the distinct ones).

The product of its digits is 7776, while the sum is 28.

The square root of 63332416 is about 7958.1666230357. The cubic root of 63332416 is about 398.6043359685.

The spelling of 63332416 in words is "sixty-three million, three hundred thirty-two thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 373 379 448 746 758 1492 1516 2611 2653 2984 3032 5222 5306 5968 6064 10444 10612 11936 12128 20888 21224 23872 24256 41776 42448 83552 84896 141367 167104 169792 282734 565468 989569 1130936 1979138 2261872 3958276 4523744 7916552 9047488 15833104 31666208 63332416