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249698680 = 23571181071
BaseRepresentation
bin11101110001000…
…01100101111000
3122101212000012021
432320201211320
51002410324210
640435524224
76121255330
oct1670414570
9571760167
10249698680
11118a48350
126b759674
133c9684ca
142523c0c0
1516dc4bda
hexee21978

249698680 has 64 divisors (see below), whose sum is σ = 700462080. Its totient is φ = 77827200.

The previous prime is 249698641. The next prime is 249698717. The reversal of 249698680 is 86896942.

249698680 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37456 + ... + 43615.

It is an arithmetic number, because the mean of its divisors is an integer number (10944720).

Almost surely, 2249698680 is an apocalyptic number.

249698680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249698680 is an abundant number, since it is smaller than the sum of its proper divisors (450763400).

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

249698680 is a wasteful number, since it uses less digits than its factorization.

249698680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81100 (or 81096 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 52.

The square root of 249698680 is about 15801.8568529145. The cubic root of 249698680 is about 629.7073302562.

The spelling of 249698680 in words is "two hundred forty-nine million, six hundred ninety-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 81071 162142 324284 405355 567497 648568 810710 891781 1134994 1621420 1783562 2269988 2837485 3242840 3567124 4458905 4539976 5674970 6242467 7134248 8917810 11349940 12484934 17835620 22699880 24969868 31212335 35671240 49939736 62424670 124849340 249698680