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242986950 = 2325217231381
BaseRepresentation
bin11100111101110…
…10111111000110
3121221020000102200
432132322333012
5444201040300
640040015330
76010232523
oct1636727706
9557200380
10242986950
11115183768
1269461546
133b45857b
14243b214a
15164eb200
hexe7bafc6

242986950 has 144 divisors (see below), whose sum is σ = 721802016. Its totient is φ = 58291200.

The previous prime is 242986949. The next prime is 242986979. The reversal of 242986950 is 59689242.

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 = 242986896 and 242986905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 175260 + ... + 176640.

It is an arithmetic number, because the mean of its divisors is an integer number (5012514).

Almost surely, 2242986950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242986950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360901008).

242986950 is an abundant number, since it is smaller than the sum of its proper divisors (478815066).

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

242986950 is a wasteful number, since it uses less digits than its factorization.

242986950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439 (or 1431 counting only the distinct ones).

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

The square root of 242986950 is about 15588.0386835548. The cubic root of 242986950 is about 624.0139758951.

The spelling of 242986950 in words is "two hundred forty-two million, nine hundred eighty-six thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 23 25 30 34 45 46 50 51 69 75 85 90 102 115 138 150 153 170 207 225 230 255 306 345 391 414 425 450 510 575 690 765 782 850 1035 1150 1173 1275 1381 1530 1725 1955 2070 2346 2550 2762 3450 3519 3825 3910 4143 5175 5865 6905 7038 7650 8286 9775 10350 11730 12429 13810 17595 19550 20715 23477 24858 29325 31763 34525 35190 41430 46954 58650 62145 63526 69050 70431 87975 95289 103575 117385 124290 140862 158815 175950 190578 207150 211293 234770 285867 310725 317630 352155 422586 476445 539971 571734 586925 621450 704310 794075 952890 1056465 1079942 1173850 1429335 1588150 1619913 1760775 2112930 2382225 2699855 2858670 3239826 3521550 4764450 4859739 5282325 5399710 7146675 8099565 9719478 10564650 13499275 14293350 16199130 24298695 26998550 40497825 48597390 80995650 121493475 242986950