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248828076 = 223272236133
BaseRepresentation
bin11101101010011…
…01000010101100
3122100012202221200
432311031002230
51002144444301
640405125500
76111001200
oct1665150254
9570182850
10248828076
11118503242
126b3b9890
133c722163
1425092b00
1516ca1c86
hexed4d0ac

248828076 has 108 divisors (see below), whose sum is σ = 763609392. Its totient is φ = 67991616.

The previous prime is 248828059. The next prime is 248828077. The reversal of 248828076 is 670828842.

It is a happy number.

248828076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2488280762 = 123830822811723552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (248828077) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37506 + ... + 43638.

Almost surely, 2248828076 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 248828076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381804696).

248828076 is an abundant number, since it is smaller than the sum of its proper divisors (514781316).

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

248828076 is a wasteful number, since it uses less digits than its factorization.

248828076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6180 (or 6168 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 248828076 is about 15774.2852769943. The cubic root of 248828076 is about 628.9746283334.

The spelling of 248828076 in words is "two hundred forty-eight million, eight hundred twenty-eight thousand, seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 49 63 69 84 92 98 126 138 147 161 196 207 252 276 294 322 414 441 483 588 644 828 882 966 1127 1449 1764 1932 2254 2898 3381 4508 5796 6133 6762 10143 12266 13524 18399 20286 24532 36798 40572 42931 55197 73596 85862 110394 128793 141059 171724 220788 257586 282118 300517 386379 423177 515172 564236 601034 772758 846354 901551 987413 1202068 1269531 1545516 1692708 1803102 1974826 2539062 2704653 2962239 3606204 3949652 5078124 5409306 5924478 6911891 8886717 10818612 11848956 13823782 17773434 20735673 27647564 35546868 41471346 62207019 82942692 124414038 248828076