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248094088 = 231113121521
BaseRepresentation
bin11101100100110…
…01110110001000
3122021211111002221
432302121312020
51002003002323
640341303424
76101523244
oct1662316610
9567744087
10248094088
11118051840
126b104b74
133c526048
1424d41424
1516ba955d
hexec99d88

248094088 has 32 divisors (see below), whose sum is σ = 511362720. Its totient is φ = 111904000.

The previous prime is 248094079. The next prime is 248094103. The reversal of 248094088 is 880490842.

248094088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 768 + ... + 22288.

It is an arithmetic number, because the mean of its divisors is an integer number (15980085).

Almost surely, 2248094088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248094088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255681360).

248094088 is an abundant number, since it is smaller than the sum of its proper divisors (263268632).

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

248094088 is a wasteful number, since it uses less digits than its factorization.

248094088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21669 (or 21665 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 43.

The square root of 248094088 is about 15751.0027617292. The cubic root of 248094088 is about 628.3555737183.

The spelling of 248094088 in words is "two hundred forty-eight million, ninety-four thousand, eighty-eight".

Divisors: 1 2 4 8 11 22 44 88 131 262 524 1048 1441 2882 5764 11528 21521 43042 86084 172168 236731 473462 946924 1893848 2819251 5638502 11277004 22554008 31011761 62023522 124047044 248094088