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248280828 = 223196716253
BaseRepresentation
bin11101100110001…
…11011011111100
3122022011222021020
432303013123330
51002024441303
640345304140
76103231545
oct1663073374
9568158236
10248280828
1111816a074
126b195050
133c590043
1424d8d4cc
1516be4a53
hexecc76fc

248280828 has 48 divisors (see below), whose sum is σ = 618952320. Its totient is φ = 77229504.

The previous prime is 248280793. The next prime is 248280833. The reversal of 248280828 is 828082842.

It is a self number, because there is not a number n which added to its sum of digits gives 248280828.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7150 + ... + 23402.

It is an arithmetic number, because the mean of its divisors is an integer number (12894840).

Almost surely, 2248280828 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 248280828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309476160).

248280828 is an abundant number, since it is smaller than the sum of its proper divisors (370671492).

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

248280828 is a wasteful number, since it uses less digits than its factorization.

248280828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16346 (or 16344 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 42.

The square root of 248280828 is about 15756.9295232288. The cubic root of 248280828 is about 628.5131882383.

The spelling of 248280828 in words is "two hundred forty-eight million, two hundred eighty thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 67 76 114 134 201 228 268 402 804 1273 2546 3819 5092 7638 15276 16253 32506 48759 65012 97518 195036 308807 617614 926421 1088951 1235228 1852842 2177902 3266853 3705684 4355804 6533706 13067412 20690069 41380138 62070207 82760276 124140414 248280828