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5877376 = 27173773
BaseRepresentation
bin10110011010111010000000
3102001121020121
4112122322000
53001034001
6325550024
7100646131
oct26327200
912047217
105877376
11335483a
121b75314
1312aa24b
14acdc88
157b16a1
hex59ae80

5877376 has 64 divisors (see below), whose sum is σ = 12907080. Its totient is φ = 2654208.

The previous prime is 5877371. The next prime is 5877407. The reversal of 5877376 is 6737785.

It can be written as a sum of positive squares in 4 ways, for example, as 5875776 + 1600 = 2424^2 + 40^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (5877371) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80476 + ... + 80548.

Almost surely, 25877376 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 5877376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6453540).

5877376 is an abundant number, since it is smaller than the sum of its proper divisors (7029704).

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

5877376 is a wasteful number, since it uses less digits than its factorization.

5877376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 129 counting only the distinct ones).

The product of its digits is 246960, while the sum is 43.

The square root of 5877376 is about 2424.3300105390. The cubic root of 5877376 is about 180.4656257519.

The spelling of 5877376 in words is "five million, eight hundred seventy-seven thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 17 32 34 37 64 68 73 74 128 136 146 148 272 292 296 544 584 592 629 1088 1168 1184 1241 1258 2176 2336 2368 2482 2516 2701 4672 4736 4964 5032 5402 9344 9928 10064 10804 19856 20128 21608 39712 40256 43216 45917 79424 80512 86432 91834 158848 172864 183668 345728 367336 734672 1469344 2938688 5877376