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242755146 = 232591791277
BaseRepresentation
bin11100111100000…
…10011001001010
3121220210020110100
432132002121022
5444121131041
640031030230
76005245644
oct1636023112
9556706410
10242755146
11115035597
126936b376
133b3a6bca
1424351894
15164a26b6
hexe78264a

242755146 has 48 divisors (see below), whose sum is σ = 538293600. Its totient is φ = 79040544.

The previous prime is 242755129. The next prime is 242755151. The reversal of 242755146 is 641557242.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 242755146.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189460 + ... + 190736.

It is an arithmetic number, because the mean of its divisors is an integer number (11214450).

Almost surely, 2242755146 is an apocalyptic number.

242755146 is an abundant number, since it is smaller than the sum of its proper divisors (295538454).

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

242755146 is a wasteful number, since it uses less digits than its factorization.

242755146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1520 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 242755146 is about 15580.6015930066. The cubic root of 242755146 is about 623.8154810687.

The spelling of 242755146 in words is "two hundred forty-two million, seven hundred fifty-five thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 59 118 177 179 354 358 531 537 1062 1074 1277 1611 2554 3222 3831 7662 10561 11493 21122 22986 31683 63366 75343 95049 150686 190098 226029 228583 452058 457166 678087 685749 1356174 1371498 2057247 4114494 13486397 26972794 40459191 80918382 121377573 242755146