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258639640 = 23572131959
BaseRepresentation
bin11110110101010…
…00011100011000
3200000200020212221
433122220130120
51012202432030
641355313424
76260254300
oct1732503430
9600606787
10258639640
11122aa4876
127274b874
134177900c
14264c8600
1517a8de7a
hexf6a8718

258639640 has 48 divisors (see below), whose sum is σ = 676954800. Its totient is φ = 88675776.

The previous prime is 258639617. The next prime is 258639653. The reversal of 258639640 is 46936852.

258639640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64020 + ... + 67939.

It is an arithmetic number, because the mean of its divisors is an integer number (14103225).

Almost surely, 2258639640 is an apocalyptic number.

258639640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258639640 is an abundant number, since it is smaller than the sum of its proper divisors (418315160).

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

258639640 is a wasteful number, since it uses less digits than its factorization.

258639640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131984 (or 131973 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The square root of 258639640 is about 16082.2772019388. The cubic root of 258639640 is about 637.1353413668.

The spelling of 258639640 in words is "two hundred fifty-eight million, six hundred thirty-nine thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 131959 263918 527836 659795 923713 1055672 1319590 1847426 2639180 3694852 4618565 5278360 6465991 7389704 9237130 12931982 18474260 25863964 32329955 36948520 51727928 64659910 129319820 258639640