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242795250 = 2325329612
BaseRepresentation
bin11100111100011…
…00001011110010
3121220212021110200
432132030023302
5444123422000
640031540030
76005503605
oct1636141362
9556767420
10242795250
11115062735
126938a616
133b3bc239
142436233c
15164ae500
hexe78c2f2

242795250 has 144 divisors (see below), whose sum is σ = 690473160. Its totient is φ = 61488000.

The previous prime is 242795237. The next prime is 242795251. The reversal of 242795250 is 52597242.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 126090441 + 116704809 = 11229^2 + 10803^2 .

It is not an unprimeable number, because it can be changed into a prime (242795251) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3980220 + ... + 3980280.

Almost surely, 2242795250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242795250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345236580).

242795250 is an abundant number, since it is smaller than the sum of its proper divisors (447677910).

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

242795250 is a wasteful number, since it uses less digits than its factorization.

242795250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 242795250 is about 15581.8885248227. Note that the first 3 decimals coincide. The cubic root of 242795250 is about 623.8498313444.

The spelling of 242795250 in words is "two hundred forty-two million, seven hundred ninety-five thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 29 30 45 50 58 61 75 87 90 122 125 145 150 174 183 225 250 261 290 305 366 375 435 450 522 549 610 725 750 870 915 1098 1125 1305 1450 1525 1769 1830 2175 2250 2610 2745 3050 3538 3625 3721 4350 4575 5307 5490 6525 7250 7442 7625 8845 9150 10614 10875 11163 13050 13725 15250 15921 17690 18605 21750 22326 22875 26535 27450 31842 32625 33489 37210 44225 45750 53070 55815 65250 66978 68625 79605 88450 93025 107909 111630 132675 137250 159210 167445 186050 215818 221125 265350 279075 323727 334890 398025 442250 465125 539545 558150 647454 663375 796050 837225 930250 971181 1079090 1326750 1395375 1618635 1674450 1942362 1990125 2697725 2790750 3237270 3980250 4186125 4855905 5395450 8093175 8372250 9711810 13488625 16186350 24279525 26977250 40465875 48559050 80931750 121397625 242795250