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242619880 = 2357383089
BaseRepresentation
bin11100111011000…
…01010111101000
3121220112100220111
432131201113220
5444102314010
640024104104
76004143406
oct1635412750
9556470814
10242619880
11114a529a8
1269305034
133b35a479
1424318476
151647758a
hexe7615e8

242619880 has 32 divisors (see below), whose sum is σ = 553379400. Its totient is φ = 95717376.

The previous prime is 242619809. The next prime is 242619917. The reversal of 242619880 is 88916242.

It can be written as a sum of positive squares in 4 ways, for example, as 126023076 + 116596804 = 11226^2 + 10798^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38625 + ... + 44464.

Almost surely, 2242619880 is an apocalyptic number.

242619880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242619880 is an abundant number, since it is smaller than the sum of its proper divisors (310759520).

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

242619880 is a wasteful number, since it uses less digits than its factorization.

242619880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83173 (or 83169 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 242619880 is about 15576.2601416386. The cubic root of 242619880 is about 623.6995937864.

The spelling of 242619880 in words is "two hundred forty-two million, six hundred nineteen thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1460 2920 83089 166178 332356 415445 664712 830890 1661780 3323560 6065497 12130994 24261988 30327485 48523976 60654970 121309940 242619880