Search a number
-
+
42995776 = 263767271
BaseRepresentation
bin1010010000000…
…1000001000000
32222220102010011
42210001001000
542001331101
64133314304
71031313055
oct244010100
988812104
1042995776
11222a73aa
1212495994
138ba52b5
1459d302c
153b94751
hex2901040

42995776 has 56 divisors (see below), whose sum is σ = 89261696. Its totient is φ = 20528640.

The previous prime is 42995767. The next prime is 42995779. The reversal of 42995776 is 67759924.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42995779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158521 + ... + 158791.

Almost surely, 242995776 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 42995776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44630848).

42995776 is an abundant number, since it is smaller than the sum of its proper divisors (46265920).

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

42995776 is a wasteful number, since it uses less digits than its factorization.

42995776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 377 counting only the distinct ones).

The product of its digits is 952560, while the sum is 49.

The square root of 42995776 is about 6557.1164394115. The cubic root of 42995776 is about 350.3283340712.

The spelling of 42995776 in words is "forty-two million, nine hundred ninety-five thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 32 37 64 67 74 134 148 268 271 296 536 542 592 1072 1084 1184 2144 2168 2368 2479 4288 4336 4958 8672 9916 10027 17344 18157 19832 20054 36314 39664 40108 72628 79328 80216 145256 158656 160432 290512 320864 581024 641728 671809 1162048 1343618 2687236 5374472 10748944 21497888 42995776