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258864012 = 22351123171
BaseRepresentation
bin11110110110111…
…11001110001100
3200001002122200000
433123133032030
51012232122022
641404204300
76262210401
oct1733371614
9601078600
10258864012
11123138400
1272839690
1341827194
14265462a8
1517ad56ac
hexf6df38c

258864012 has 216 divisors, whose sum is σ = 780788736. Its totient is φ = 74844000.

The previous prime is 258863989. The next prime is 258864013. The reversal of 258864012 is 210468852.

258864012 is a `hidden beast` number, since 2 + 5 + 8 + 8 + 640 + 1 + 2 = 666.

It is a super-2 number, since 2×2588640122 = 134021153417472288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (258864013) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3645937 + ... + 3646007.

Almost surely, 2258864012 is an apocalyptic number.

258864012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258864012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390394368).

258864012 is an abundant number, since it is smaller than the sum of its proper divisors (521924724).

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

258864012 is a wasteful number, since it uses less digits than its factorization.

258864012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 258864012 is about 16089.2514431219. The cubic root of 258864012 is about 637.3195281532.

The spelling of 258864012 in words is "two hundred fifty-eight million, eight hundred sixty-four thousand, twelve".