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249893064 = 233217204161
BaseRepresentation
bin11101110010100…
…01000011001000
3122102012212211200
432321101003020
51002433034224
640444024200
76123025131
oct1671210310
9572185750
10249893064
111190703a3
126b832060
133ca05b25
142528cc88
1516e125c9
hexee510c8

249893064 has 48 divisors (see below), whose sum is σ = 716608620. Its totient is φ = 78397440.

The previous prime is 249893051. The next prime is 249893123. The reversal of 249893064 is 460398942.

It can be written as a sum of positive squares in 2 ways, for example, as 235376964 + 14516100 = 15342^2 + 3810^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100857 + ... + 103304.

Almost surely, 2249893064 is an apocalyptic number.

249893064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

249893064 is an abundant number, since it is smaller than the sum of its proper divisors (466715556).

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

249893064 is a wasteful number, since it uses less digits than its factorization.

249893064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204190 (or 204183 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 249893064 is about 15808.0063259097. The cubic root of 249893064 is about 629.8706915261.

The spelling of 249893064 in words is "two hundred forty-nine million, eight hundred ninety-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 204161 408322 612483 816644 1224966 1633288 1837449 2449932 3470737 3674898 4899864 6941474 7349796 10412211 13882948 14699592 20824422 27765896 31236633 41648844 62473266 83297688 124946532 249893064