Search a number
-
+
63390784 = 263189359
BaseRepresentation
bin1111000111010…
…0010001000000
311102021120210211
43301310101000
5112212001114
610142403504
71366545532
oct361642100
9142246724
1063390784
1132867486
1219290594
1310196452
1485c1852
1558726c4
hex3c74440

63390784 has 56 divisors (see below), whose sum is σ = 131673600. Its totient is φ = 30243840.

The previous prime is 63390763. The next prime is 63390793. The reversal of 63390784 is 48709336.

It is a super-2 number, since 2×633907842 = 8036782992269312, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176397 + ... + 176755.

Almost surely, 263390784 is an apocalyptic number.

63390784 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 63390784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65836800).

63390784 is an abundant number, since it is smaller than the sum of its proper divisors (68282816).

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

63390784 is a wasteful number, since it uses less digits than its factorization.

63390784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 63390784 is about 7961.8329547913. The cubic root of 63390784 is about 398.7267513953.

The spelling of 63390784 in words is "sixty-three million, three hundred ninety thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 31 32 62 64 89 124 178 248 356 359 496 712 718 992 1424 1436 1984 2759 2848 2872 5518 5696 5744 11036 11129 11488 22072 22258 22976 31951 44144 44516 63902 88288 89032 127804 176576 178064 255608 356128 511216 712256 990481 1022432 1980962 2044864 3961924 7923848 15847696 31695392 63390784