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2887248 = 243713661
BaseRepresentation
bin1011000000111001010000
312102200120010
423000321100
51214342443
6141514520
733353430
oct13007120
95380503
102887248
1116a2261
12b72a40
137a1240
145522c0
153c0733
hex2c0e50

2887248 has 80 divisors (see below), whose sum is σ = 9193856. Its totient is φ = 760320.

The previous prime is 2887237. The next prime is 2887279. The reversal of 2887248 is 8427882.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

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, 4038 + ... + 4698.

22887248 is an apocalyptic number.

2887248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2887248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596928).

2887248 is an abundant number, since it is smaller than the sum of its proper divisors (6306608).

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

2887248 is a wasteful number, since it uses less digits than its factorization.

2887248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 686 counting only the distinct ones).

The product of its digits is 57344, while the sum is 39.

The square root of 2887248 is about 1699.1903954531. The cubic root of 2887248 is about 142.3949857259.

It can be divided in two parts, 28872 and 48, that added together give a triangular number (28920 = T240).

The spelling of 2887248 in words is "two million, eight hundred eighty-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 661 728 1092 1322 1456 1983 2184 2644 3966 4368 4627 5288 7932 8593 9254 10576 13881 15864 17186 18508 25779 27762 31728 34372 37016 51558 55524 60151 68744 74032 103116 111048 120302 137488 180453 206232 222096 240604 360906 412464 481208 721812 962416 1443624 2887248