Search a number
-
+
249198368 = 2553146933
BaseRepresentation
bin11101101101001…
…11011100100000
3122100220120220012
432312213130200
51002243321433
640421104052
76114102566
oct1666473440
9570816805
10249198368
11118736471
126b558028
133c821873
142514ba36
1516d26848
hexeda7720

249198368 has 24 divisors (see below), whose sum is σ = 499869468. Its totient is φ = 122247424.

The previous prime is 249198361. The next prime is 249198409. The reversal of 249198368 is 863891942.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 244234384 + 4963984 = 15628^2 + 2228^2 .

It is a super-2 number, since 2×2491983682 = 124199653227726848, which contains 22 as substring.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (249198361) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 71771 + ... + 75162.

Almost surely, 2249198368 is an apocalyptic number.

It is an amenable number.

249198368 is an abundant number, since it is smaller than the sum of its proper divisors (250671100).

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

249198368 is a wasteful number, since it uses less digits than its factorization.

249198368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146996 (or 146988 counting only the distinct ones).

The product of its digits is 746496, while the sum is 50.

The square root of 249198368 is about 15786.0181173087. The cubic root of 249198368 is about 629.2864752928.

The spelling of 249198368 in words is "two hundred forty-nine million, one hundred ninety-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 53 106 212 424 848 1696 146933 293866 587732 1175464 2350928 4701856 7787449 15574898 31149796 62299592 124599184 249198368