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258799480 = 23529223103
BaseRepresentation
bin11110110110011…
…11011101111000
3200000222101010221
433123033131320
51012223040410
641402545424
76261521302
oct1733173570
9600871127
10258799480
111230a3975
1272808274
13418039b4
142652a972
1517ac14da
hexf6cf778

258799480 has 32 divisors (see below), whose sum is σ = 602380800. Its totient is φ = 99949696.

The previous prime is 258799433. The next prime is 258799481. The reversal of 258799480 is 84997852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258799481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110392 + ... + 112711.

It is an arithmetic number, because the mean of its divisors is an integer number (18824400).

Almost surely, 2258799480 is an apocalyptic number.

258799480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258799480 is an abundant number, since it is smaller than the sum of its proper divisors (343581320).

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

258799480 is a wasteful number, since it uses less digits than its factorization.

258799480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223143 (or 223139 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 52.

The square root of 258799480 is about 16087.2458798888. The cubic root of 258799480 is about 637.2665647955.

The spelling of 258799480 in words is "two hundred fifty-eight million, seven hundred ninety-nine thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 223103 446206 892412 1115515 1784824 2231030 4462060 6469987 8924120 12939974 25879948 32349935 51759896 64699870 129399740 258799480