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258485960 = 23523280963
BaseRepresentation
bin11110110100000…
…10111011001000
3200000101110002002
433122002323020
51012133022320
641352130132
76256044245
oct1732027310
9600343062
10258485960
111229aa367
1272696948
1341724095
14264885cc
1517a5d675
hexf682ec8

258485960 has 32 divisors (see below), whose sum is σ = 606882240. Its totient is φ = 98898624.

The previous prime is 258485957. The next prime is 258485963. The reversal of 258485960 is 69584852.

258485960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (258485957) and next prime (258485963).

It is not an unprimeable number, because it can be changed into a prime (258485963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139562 + ... + 141401.

It is an arithmetic number, because the mean of its divisors is an integer number (18965070).

Almost surely, 2258485960 is an apocalyptic number.

258485960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258485960 is an abundant number, since it is smaller than the sum of its proper divisors (348396280).

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

258485960 is a wasteful number, since it uses less digits than its factorization.

258485960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280997 (or 280993 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 47.

The square root of 258485960 is about 16077.4985616544. The cubic root of 258485960 is about 637.0091241083.

The spelling of 258485960 in words is "two hundred fifty-eight million, four hundred eighty-five thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 280963 561926 1123852 1404815 2247704 2809630 5619260 6462149 11238520 12924298 25848596 32310745 51697192 64621490 129242980 258485960