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5187288 = 233292257
BaseRepresentation
bin10011110010011011011000
3100202112121210
4103302123120
52311443123
6303103120
762043201
oct23623330
910675553
105187288
112a23317
1218a1aa0
1310c8102
149905a8
156c6e93
hex4f26d8

5187288 has 48 divisors (see below), whose sum is σ = 13483080. Its totient is φ = 1662976.

The previous prime is 5187283. The next prime is 5187293. The reversal of 5187288 is 8827815.

5187288 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5187283) and next prime (5187293).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5187283) 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, 20056 + ... + 20312.

Almost surely, 25187288 is an apocalyptic number.

5187288 is a gapful number since it is divisible by the number (58) 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 5187288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6741540).

5187288 is an abundant number, since it is smaller than the sum of its proper divisors (8295792).

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

5187288 is a wasteful number, since it uses less digits than its factorization.

5187288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 291 counting only the distinct ones).

The product of its digits is 35840, while the sum is 39.

The square root of 5187288 is about 2277.5618542643. The cubic root of 5187288 is about 173.1065311094.

It can be divided in two parts, 5187 and 288, that multiplied together give a triangular number (1493856 = T1728).

The spelling of 5187288 in words is "five million, one hundred eighty-seven thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 257 348 514 696 771 841 1028 1542 1682 2056 2523 3084 3364 5046 6168 6728 7453 10092 14906 20184 22359 29812 44718 59624 89436 178872 216137 432274 648411 864548 1296822 1729096 2593644 5187288