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250088768 = 2617534337
BaseRepresentation
bin11101110100000…
…00110101000000
3122102120211021222
432322000311000
51003010320033
640452134212
76124501526
oct1672006500
9572524258
10250088768
11119194436
126b907368
133ca73c27
1425300316
1516e50598
hexee80d40

250088768 has 56 divisors (see below), whose sum is σ = 535500072. Its totient is φ = 115441664.

The previous prime is 250088759. The next prime is 250088777. The reversal of 250088768 is 867880052.

It is an interprime number because it is at equal distance from previous prime (250088759) and next prime (250088777).

It can be written as a sum of positive squares in 4 ways, for example, as 24127744 + 225961024 = 4912^2 + 15032^2 .

It is a congruent number.

It is an unprimeable number.

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, 55496 + ... + 59832.

Almost surely, 2250088768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 250088768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267750036).

250088768 is an abundant number, since it is smaller than the sum of its proper divisors (285411304).

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

250088768 is a wasteful number, since it uses less digits than its factorization.

250088768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4419 (or 4409 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 44.

The square root of 250088768 is about 15814.1951423397. The cubic root of 250088768 is about 630.0350765722.

The spelling of 250088768 in words is "two hundred fifty million, eighty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 53 64 68 106 136 212 272 424 544 848 901 1088 1696 1802 3392 3604 4337 7208 8674 14416 17348 28832 34696 57664 69392 73729 138784 147458 229861 277568 294916 459722 589832 919444 1179664 1838888 2359328 3677776 3907637 4718656 7355552 7815274 14711104 15630548 31261096 62522192 125044384 250088768