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249750942 = 23723167409
BaseRepresentation
bin11101110001011…
…10010110011110
3122101221122212220
432320232112132
51002414012232
640441010210
76121563600
oct1670562636
9571848786
10249750942
11118a83641
126b783966
133c98622c
1425253170
1516dd542c
hexee2e59e

249750942 has 96 divisors (see below), whose sum is σ = 610237440. Its totient is φ = 67858560.

The previous prime is 249750913. The next prime is 249750979. The reversal of 249750942 is 249057942.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 249750894 and 249750903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 610434 + ... + 610842.

It is an arithmetic number, because the mean of its divisors is an integer number (6356640).

Almost surely, 2249750942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249750942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305118720).

249750942 is an abundant number, since it is smaller than the sum of its proper divisors (360486498).

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

249750942 is a wasteful number, since it uses less digits than its factorization.

249750942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 249750942 is about 15803.5104328121. The cubic root of 249750942 is about 629.7512598286.

The spelling of 249750942 in words is "two hundred forty-nine million, seven hundred fifty thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 14 21 31 42 49 62 67 93 98 134 147 186 201 217 294 402 409 434 469 651 818 938 1227 1302 1407 1519 2077 2454 2814 2863 3038 3283 4154 4557 5726 6231 6566 8589 9114 9849 12462 12679 14539 17178 19698 20041 25358 27403 29078 38037 40082 43617 54806 60123 76074 82209 87234 88753 101773 120246 164418 177506 191821 203546 266259 305319 383642 532518 575463 610638 621271 849493 1150926 1242542 1342747 1698986 1863813 2548479 2685494 3727626 4028241 5096958 5946451 8056482 11892902 17839353 35678706 41625157 83250314 124875471 249750942