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2876416 = 210532
BaseRepresentation
bin1010111110010000000000
312102010200221
422332100000
51214021131
6141352424
733310024
oct12762000
95363627
102876416
111695104
12b68714
1379932a
1454c384
153bc411
hex2be400

2876416 has 33 divisors (see below), whose sum is σ = 5860561. Its totient is φ = 1411072.

The previous prime is 2876411. The next prime is 2876443. The reversal of 2876416 is 6146782.

The square root of 2876416 is 1696.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2073600 + 802816 = 1440^2 + 896^2 .

It is a Duffinian number.

Its product of digits (16128) is a multiple of the sum of its prime factors (126).

It is not an unprimeable number, because it can be changed into a prime (2876411) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 54246 + ... + 54298.

22876416 is an apocalyptic number.

2876416 is the 1696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2876416

2876416 is an abundant number, since it is smaller than the sum of its proper divisors (2984145).

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

2876416 is an frugal number, since it uses more digits than its factorization.

2876416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 55 counting only the distinct ones).

The product of its digits is 16128, while the sum is 34.

The cubic root of 2876416 is about 142.2166895996.

The spelling of 2876416 in words is "two million, eight hundred seventy-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 512 848 1024 1696 2809 3392 5618 6784 11236 13568 22472 27136 44944 54272 89888 179776 359552 719104 1438208 2876416