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248029264 = 2473171437
BaseRepresentation
bin11101100100010…
…10000001010000
3122021201012012001
432302022001100
51001443414024
640340043344
76101133250
oct1662120120
9567635161
10248029264
1111800806a
126b093554
133c5026a2
1424d25960
1516b95244
hexec8a050

248029264 has 40 divisors (see below), whose sum is σ = 566931968. Its totient is φ = 102867840.

The previous prime is 248029259. The next prime is 248029273. The reversal of 248029264 is 462920842.

248029264 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 7 ways as a sum of consecutive naturals, for example, 32247 + ... + 39190.

Almost surely, 2248029264 is an apocalyptic number.

It is an amenable number.

248029264 is an abundant number, since it is smaller than the sum of its proper divisors (318902704).

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

248029264 is a wasteful number, since it uses less digits than its factorization.

248029264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71483 (or 71477 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 248029264 is about 15748.9448535450. The cubic root of 248029264 is about 628.3008417008.

The spelling of 248029264 in words is "two hundred forty-eight million, twenty-nine thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 868 1736 3472 71437 142874 285748 500059 571496 1000118 1142992 2000236 2214547 4000472 4429094 8000944 8858188 15501829 17716376 31003658 35432752 62007316 124014632 248029264