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249742808 = 2372412379
BaseRepresentation
bin11101110001011…
…00010111011000
3122101221020201122
432320230113120
51002413232213
640440504412
76121531100
oct1670542730
9571836648
10249742808
11118a78517
126b77b108
133c982613
1425250200
1516dd2d08
hexee2c5d8

249742808 has 72 divisors (see below), whose sum is σ = 559802700. Its totient is φ = 104146560.

The previous prime is 249742799. The next prime is 249742813. The reversal of 249742808 is 808247942.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 658763 + ... + 659141.

Almost surely, 2249742808 is an apocalyptic number.

249742808 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249742808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279901350).

249742808 is an abundant number, since it is smaller than the sum of its proper divisors (310059892).

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

249742808 is a wasteful number, since it uses less digits than its factorization.

249742808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The square root of 249742808 is about 15803.2530828308. The cubic root of 249742808 is about 629.7444230811.

The spelling of 249742808 in words is "two hundred forty-nine million, seven hundred forty-two thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 28 41 49 56 82 98 164 196 287 328 379 392 574 758 1148 1516 1681 2009 2296 2653 3032 3362 4018 5306 6724 8036 10612 11767 13448 15539 16072 18571 21224 23534 31078 37142 47068 62156 74284 82369 94136 108773 124312 148568 164738 217546 329476 435092 637099 658952 761411 870184 1274198 1522822 2548396 3045644 4459693 5096792 6091288 8919386 17838772 31217851 35677544 62435702 124871404 249742808