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249268950 = 23252779133
BaseRepresentation
bin11101101101110…
…00101011010110
3122101001011201100
432312320223112
51002303101300
640422410530
76114515430
oct1666705326
9571034640
10249268950
111187844a7
126b590a46
133c847a28
1425169650
1516d3c700
hexedb8ad6

249268950 has 72 divisors (see below), whose sum is σ = 765384048. Its totient is φ = 56975040.

The previous prime is 249268933. The next prime is 249268973. The reversal of 249268950 is 59862942.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 249268896 and 249268905.

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 35 ways as a sum of consecutive naturals, for example, 36417 + ... + 42716.

It is an arithmetic number, because the mean of its divisors is an integer number (10630334).

Almost surely, 2249268950 is an apocalyptic number.

249268950 is an abundant number, since it is smaller than the sum of its proper divisors (516115098).

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

249268950 is a wasteful number, since it uses less digits than its factorization.

249268950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79158 (or 79150 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 249268950 is about 15788.2535449618. The cubic root of 249268950 is about 629.3458819222.

The spelling of 249268950 in words is "two hundred forty-nine million, two hundred sixty-eight thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 90 105 126 150 175 210 225 315 350 450 525 630 1050 1575 3150 79133 158266 237399 395665 474798 553931 712197 791330 1107862 1186995 1424394 1661793 1978325 2373990 2769655 3323586 3560985 3956650 4985379 5539310 5934975 7121970 8308965 9970758 11869950 13848275 16617930 17804925 24926895 27696550 35609850 41544825 49853790 83089650 124634475 249268950