Search a number
-
+
991242256 = 241724632
BaseRepresentation
bin111011000101010…
…010100000010000
32120002012022202011
4323011102200100
54012224223011
6242205432304
733364264054
oct7305224020
92502168664
10991242256
11469591a84
12237b6b694
1312a491ba4
149590bc64
155c051621
hex3b152810

991242256 has 45 divisors (see below), whose sum is σ = 2044565661. Its totient is φ = 465459456.

The previous prime is 991242251. The next prime is 991242257. The reversal of 991242256 is 652242199.

The square root of 991242256 is 31484.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 771728400 + 219513856 = 27780^2 + 14816^2 .

It is a super-2 number, since 2×9912422562 = 1965122420159939072, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (991242251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2140681 + ... + 2141143.

Almost surely, 2991242256 is an apocalyptic number.

991242256 is the 31484-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 991242256

991242256 is an abundant number, since it is smaller than the sum of its proper divisors (1053323405).

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

991242256 is an equidigital number, since it uses as much as digits as its factorization.

991242256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 482 counting only the distinct ones).

The product of its digits is 77760, while the sum is 40.

The cubic root of 991242256 is about 997.0721882844.

The spelling of 991242256 in words is "nine hundred ninety-one million, two hundred forty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 463 578 926 1156 1852 2312 3704 4624 7408 7871 15742 31484 62968 125936 133807 214369 267614 428738 535228 857476 1070456 1714952 2140912 3429904 3644273 7288546 14577092 29154184 58308368 61952641 123905282 247810564 495621128 991242256