Search a number
-
+
63243768 = 2337487773
BaseRepresentation
bin1111000101000…
…0010111111000
311102000010010210
43301100113320
5112142300033
610135311120
71365364110
oct361202770
9142003123
1063243768
1132776a85
121921b4a0
1310144563
148584040
155843d63
hex3c505f8

63243768 has 64 divisors (see below), whose sum is σ = 181301760. Its totient is φ = 18009216.

The previous prime is 63243737. The next prime is 63243821. The reversal of 63243768 is 86734236.

63243768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81430 + ... + 82202.

It is an arithmetic number, because the mean of its divisors is an integer number (2832840).

Almost surely, 263243768 is an apocalyptic number.

It is an amenable number.

63243768 is an abundant number, since it is smaller than the sum of its proper divisors (118057992).

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

63243768 is a wasteful number, since it uses less digits than its factorization.

63243768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1272 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 63243768 is about 7952.5950481588. The cubic root of 63243768 is about 398.4182702384.

The spelling of 63243768 in words is "sixty-three million, two hundred forty-three thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 487 773 974 1461 1546 1948 2319 2922 3092 3409 3896 4638 5411 5844 6184 6818 9276 10227 10822 11688 13636 16233 18552 20454 21644 27272 32466 40908 43288 64932 81816 129864 376451 752902 1129353 1505804 2258706 2635157 3011608 4517412 5270314 7905471 9034824 10540628 15810942 21081256 31621884 63243768