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2801376 = 253271137
BaseRepresentation
bin1010101011111011100000
312021022202200
422223323200
51204121001
6140013200
732545164
oct12537340
95238680
102801376
111643796
12b31200
13771126
1452cca4
153a5086
hex2abee0

2801376 has 72 divisors (see below), whose sum is σ = 8137584. Its totient is φ = 913920.

The previous prime is 2801369. The next prime is 2801401. The reversal of 2801376 is 6731082.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20380 + ... + 20516.

It is an arithmetic number, because the mean of its divisors is an integer number (113022).

22801376 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 2801376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4068792).

2801376 is an abundant number, since it is smaller than the sum of its proper divisors (5336208).

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

2801376 is a wasteful number, since it uses less digits than its factorization.

2801376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2801376 is about 1673.7311612084. The cubic root of 2801376 is about 140.9690591532.

The spelling of 2801376 in words is "two million, eight hundred one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 71 72 96 137 142 144 213 274 284 288 411 426 548 568 639 822 852 1096 1136 1233 1278 1644 1704 2192 2272 2466 2556 3288 3408 4384 4932 5112 6576 6816 9727 9864 10224 13152 19454 19728 20448 29181 38908 39456 58362 77816 87543 116724 155632 175086 233448 311264 350172 466896 700344 933792 1400688 2801376