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242750508 = 2237211132887
BaseRepresentation
bin11100111100000…
…01010000101100
3121220210000002120
432132001100230
5444121004013
640030552540
76005226300
oct1636012054
9556700076
10242750508
11115032060
1269368750
133b3a4a70
142434dd00
15164a1123
hexe78142c

242750508 has 144 divisors (see below), whose sum is σ = 774353664. Its totient is φ = 58181760.

The previous prime is 242750483. The next prime is 242750509. The reversal of 242750508 is 805057242.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242750509) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82641 + ... + 85527.

It is an arithmetic number, because the mean of its divisors is an integer number (5377456).

Almost surely, 2242750508 is an apocalyptic number.

242750508 is a gapful number since it is divisible by the number (28) 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 242750508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387176832).

242750508 is an abundant number, since it is smaller than the sum of its proper divisors (531603156).

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

242750508 is a wasteful number, since it uses less digits than its factorization.

242750508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2932 (or 2923 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 242750508 is about 15580.4527533702. The cubic root of 242750508 is about 623.8115082389.

The spelling of 242750508 in words is "two hundred forty-two million, seven hundred fifty thousand, five hundred eight".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 49 52 66 77 78 84 91 98 132 143 147 154 156 182 196 231 273 286 294 308 364 429 462 539 546 572 588 637 858 924 1001 1078 1092 1274 1617 1716 1911 2002 2156 2548 2887 3003 3234 3822 4004 5774 6006 6468 7007 7644 8661 11548 12012 14014 17322 20209 21021 28028 31757 34644 37531 40418 42042 60627 63514 75062 80836 84084 95271 112593 121254 127028 141463 150124 190542 222299 225186 242508 262717 282926 381084 412841 424389 444598 450372 525434 565852 666897 788151 825682 848778 889196 1050868 1238523 1333794 1556093 1576302 1651364 1697556 1839019 2477046 2667588 2889887 3112186 3152604 3678038 4668279 4954092 5517057 5779774 6224372 7356076 8669661 9336558 11034114 11559548 17339322 18673116 20229209 22068228 34678644 40458418 60687627 80916836 121375254 242750508