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247080864 = 25319135461
BaseRepresentation
bin11101011101000…
…10011110100000
3122012221000020010
432232202132200
51001223041424
640303444520
76060103242
oct1656423640
9565830203
10247080864
1111751a568
126a8b6740
133c25cac4
1424b5a092
1516a59229
hexeba27a0

247080864 has 48 divisors (see below), whose sum is σ = 682728480. Its totient is φ = 78024960.

The previous prime is 247080863. The next prime is 247080919. The reversal of 247080864 is 468080742.

247080864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2470808642 = 122097906709972992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (247080863) 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, 65907 + ... + 69554.

It is an arithmetic number, because the mean of its divisors is an integer number (14223510).

Almost surely, 2247080864 is an apocalyptic number.

247080864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

247080864 is an abundant number, since it is smaller than the sum of its proper divisors (435647616).

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

247080864 is a wasteful number, since it uses less digits than its factorization.

247080864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135493 (or 135485 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 247080864 is about 15718.8060615302. The cubic root of 247080864 is about 627.4989986386.

The spelling of 247080864 in words is "two hundred forty-seven million, eighty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 135461 270922 406383 541844 812766 1083688 1625532 2167376 2573759 3251064 4334752 5147518 6502128 7721277 10295036 13004256 15442554 20590072 30885108 41180144 61770216 82360288 123540432 247080864