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5087376 = 243273103
BaseRepresentation
bin10011011010000010010000
3100120110120100
4103122002100
52300244001
6301012400
761146000
oct23320220
910513510
105087376
112965248
121854100
1310917a8
14966000
156a7586
hex4da090

5087376 has 120 divisors (see below), whose sum is σ = 16764800. Its totient is φ = 1439424.

The previous prime is 5087353. The next prime is 5087399. The reversal of 5087376 is 6737805.

It is an interprime number because it is at equal distance from previous prime (5087353) and next prime (5087399).

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

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 5087376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49341 + ... + 49443.

Almost surely, 25087376 is an apocalyptic number.

5087376 is a gapful number since it is divisible by the number (56) 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 5087376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8382400).

5087376 is an abundant number, since it is smaller than the sum of its proper divisors (11677424).

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

5087376 is a wasteful number, since it uses less digits than its factorization.

5087376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 5087376 is about 2255.5212257924. The cubic root of 5087376 is about 171.9879205506.

The spelling of 5087376 in words is "five million, eighty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 103 112 126 144 147 168 196 206 252 294 309 336 343 392 412 441 504 588 618 686 721 784 824 882 927 1008 1029 1176 1236 1372 1442 1648 1764 1854 2058 2163 2352 2472 2744 2884 3087 3528 3708 4116 4326 4944 5047 5488 5768 6174 6489 7056 7416 8232 8652 10094 11536 12348 12978 14832 15141 16464 17304 20188 24696 25956 30282 34608 35329 40376 45423 49392 51912 60564 70658 80752 90846 103824 105987 121128 141316 181692 211974 242256 282632 317961 363384 423948 565264 635922 726768 847896 1271844 1695792 2543688 5087376