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249345480 = 233529137523
BaseRepresentation
bin11101101110010…
…11010111001000
3122101012001200210
432313023113020
51002313023410
640424201120
76115254516
oct1667132710
9571161623
10249345480
11118826a4a
126b6091a0
133c873807
14251894b6
1516d55220
hexedcb5c8

249345480 has 128 divisors (see below), whose sum is σ = 780969600. Its totient is φ = 63608832.

The previous prime is 249345413. The next prime is 249345487. The reversal of 249345480 is 84543942.

It is not an unprimeable number, because it can be changed into a prime (249345487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 476499 + ... + 477021.

It is an arithmetic number, because the mean of its divisors is an integer number (6101325).

Almost surely, 2249345480 is an apocalyptic number.

249345480 is a gapful number since it is divisible by the number (20) 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 249345480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390484800).

249345480 is an abundant number, since it is smaller than the sum of its proper divisors (531624120).

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

249345480 is a wasteful number, since it uses less digits than its factorization.

249345480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 249345480 is about 15790.6769962532. The cubic root of 249345480 is about 629.4102821241.

The spelling of 249345480 in words is "two hundred forty-nine million, three hundred forty-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 137 145 174 232 274 290 348 411 435 523 548 580 685 696 822 870 1046 1096 1160 1370 1569 1644 1740 2055 2092 2615 2740 3138 3288 3480 3973 4110 4184 5230 5480 6276 7845 7946 8220 10460 11919 12552 15167 15690 15892 16440 19865 20920 23838 30334 31380 31784 39730 45501 47676 59595 60668 62760 71651 75835 79460 91002 95352 119190 121336 143302 151670 158920 182004 214953 227505 238380 286604 303340 358255 364008 429906 455010 476760 573208 606680 716510 859812 910020 1074765 1433020 1719624 1820040 2077879 2149530 2866040 4155758 4299060 6233637 8311516 8598120 10389395 12467274 16623032 20778790 24934548 31168185 41557580 49869096 62336370 83115160 124672740 249345480