Search a number
-
+
990927441 = 327214992
BaseRepresentation
bin111011000100000…
…101101001010001
32120001121022220100
4323010011221101
54012134134231
6242155003013
733361513200
oct7304055121
92501538810
10990927441
114693974a9
12237a39469
1312a3b17ca
1495869237
155bedd1e6
hex3b105a51

990927441 has 27 divisors (see below), whose sum is σ = 1666139241. Its totient is φ = 565866504.

The previous prime is 990927409. The next prime is 990927449. The reversal of 990927441 is 144729099.

It is a happy number.

The square root of 990927441 is 31479.

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

It is not a de Polignac number, because 990927441 - 25 = 990927409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (990927449) 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 26 ways as a sum of consecutive naturals, for example, 660310 + ... + 661808.

Almost surely, 2990927441 is an apocalyptic number.

990927441 is the 31479-th square number.

990927441 is the 15740-th centered octagonal number.

It is an amenable number.

990927441 is a deficient number, since it is larger than the sum of its proper divisors (675211800).

990927441 is an equidigital number, since it uses as much as digits as its factorization.

990927441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3018 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The cubic root of 990927441 is about 996.9666215858.

The spelling of 990927441 in words is "nine hundred ninety million, nine hundred twenty-seven thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 49 63 147 441 1499 4497 10493 13491 31479 73451 94437 220353 661059 2247001 6741003 15729007 20223009 47187021 110103049 141561063 330309147 990927441