Search a number
-
+
247990992 = 24316730937
BaseRepresentation
bin11101100100000…
…00101011010000
3122021122020200120
432302000223100
51001441202432
640335150240
76100613544
oct1662005320
9567566616
10247990992
11117a91337
126b075380
133c4bb142
1424d15a24
1516b88c2c
hexec80ad0

247990992 has 40 divisors (see below), whose sum is σ = 644500416. Its totient is φ = 82166016.

The previous prime is 247990949. The next prime is 247990997. The reversal of 247990992 is 299099742.

It is a happy number.

It is a super-2 number, since 2×2479909922 = 122999064226288128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247990997) 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 7 ways as a sum of consecutive naturals, for example, 7453 + ... + 23484.

Almost surely, 2247990992 is an apocalyptic number.

It is an amenable number.

247990992 is an abundant number, since it is smaller than the sum of its proper divisors (396509424).

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

247990992 is a wasteful number, since it uses less digits than its factorization.

247990992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31115 (or 31109 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 51.

The square root of 247990992 is about 15747.7297411405. The cubic root of 247990992 is about 628.2685235160.

The spelling of 247990992 in words is "two hundred forty-seven million, nine hundred ninety thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 167 334 501 668 1002 1336 2004 2672 4008 8016 30937 61874 92811 123748 185622 247496 371244 494992 742488 1484976 5166479 10332958 15499437 20665916 30998874 41331832 61997748 82663664 123995496 247990992