Search a number
-
+
383053896 = 233237532713
BaseRepresentation
bin10110110101001…
…111000001001000
3222200210011011100
4112311033001020
51241030211041
6102002101400
712330622131
oct2665170110
9880704140
10383053896
11187251075
12a834a860
136148a214
1438c32c88
15239676b6
hex16d4f048

383053896 has 96 divisors (see below), whose sum is σ = 1085979960. Its totient is φ = 121844736.

The previous prime is 383053871. The next prime is 383053897. The reversal of 383053896 is 698350383.

It can be written as a sum of positive squares in 4 ways, for example, as 352913796 + 30140100 = 18786^2 + 5490^2 .

It is not an unprimeable number, because it can be changed into a prime (383053897) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 139836 + ... + 142548.

Almost surely, 2383053896 is an apocalyptic number.

383053896 is a gapful number since it is divisible by the number (36) 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 383053896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542989980).

383053896 is an abundant number, since it is smaller than the sum of its proper divisors (702926064).

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

383053896 is a wasteful number, since it uses less digits than its factorization.

383053896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2815 (or 2808 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 383053896 is about 19571.7627208180. The cubic root of 383053896 is about 726.2508069545.

The spelling of 383053896 in words is "three hundred eighty-three million, fifty-three thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 53 72 74 106 111 148 159 212 222 296 318 333 424 444 477 636 666 888 954 1272 1332 1908 1961 2664 2713 3816 3922 5426 5883 7844 8139 10852 11766 15688 16278 17649 21704 23532 24417 32556 35298 47064 48834 65112 70596 97668 100381 141192 143789 195336 200762 287578 301143 401524 431367 575156 602286 803048 862734 903429 1150312 1204572 1294101 1725468 1806858 2409144 2588202 3450936 3613716 5176404 5320193 7227432 10352808 10640386 15960579 21280772 31921158 42561544 47881737 63842316 95763474 127684632 191526948 383053896