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248013664 = 2537209471
BaseRepresentation
bin11101100100001…
…10001101100000
3122021200101210021
432302012031200
51001442414124
640335443224
76101036623
oct1662061540
9567611707
10248013664
11117aa7378
126b086514
133c4c8562
1424d1ddba
1516b907e4
hexec86360

248013664 has 24 divisors (see below), whose sum is σ = 501475968. Its totient is φ = 120654720.

The previous prime is 248013653. The next prime is 248013673. The reversal of 248013664 is 466310842.

248013664 is digitally balanced in base 3, 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 3 ways as a sum of consecutive naturals, for example, 103552 + ... + 105919.

It is an arithmetic number, because the mean of its divisors is an integer number (20894832).

Almost surely, 2248013664 is an apocalyptic number.

It is an amenable number.

248013664 is an abundant number, since it is smaller than the sum of its proper divisors (253462304).

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

248013664 is a wasteful number, since it uses less digits than its factorization.

248013664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209518 (or 209510 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 248013664 is about 15748.4495744819. The cubic root of 248013664 is about 628.2876689291.

The spelling of 248013664 in words is "two hundred forty-eight million, thirteen thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 1184 209471 418942 837884 1675768 3351536 6703072 7750427 15500854 31001708 62003416 124006832 248013664