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5076288 = 263271259
BaseRepresentation
bin10011010111010101000000
3100112220100200
4103113111000
52244420123
6300445200
761101450
oct23272500
910486320
105076288
112957988
121849800
131089729
14961d60
156a4143
hex4d7540

5076288 has 84 divisors (see below), whose sum is σ = 16642080. Its totient is φ = 1449216.

The previous prime is 5076283. The next prime is 5076349. The reversal of 5076288 is 8826705.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5076283) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3403 + ... + 4661.

It is an arithmetic number, because the mean of its divisors is an integer number (198120).

Almost surely, 25076288 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 5076288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8321040).

5076288 is an abundant number, since it is smaller than the sum of its proper divisors (11565792).

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

5076288 is a wasteful number, since it uses less digits than its factorization.

5076288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 5076288 is about 2253.0619165926. The cubic root of 5076288 is about 171.8628797183.

The spelling of 5076288 in words is "five million, seventy-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1259 1344 2016 2518 3777 4032 5036 7554 8813 10072 11331 15108 17626 20144 22662 26439 30216 35252 40288 45324 52878 60432 70504 79317 80576 90648 105756 120864 141008 158634 181296 211512 241728 282016 317268 362592 423024 564032 634536 725184 846048 1269072 1692096 2538144 5076288