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5172288 = 263113179
BaseRepresentation
bin10011101110110001000000
3100201210001020
4103232301000
52311003123
6302505440
761651362
oct23566100
910653036
105172288
112a13020
121895280
1310c1334
14988d32
156c27e3
hex4eec40

5172288 has 112 divisors (see below), whose sum is σ = 15605760. Its totient is φ = 1497600.

The previous prime is 5172287. The next prime is 5172289. The reversal of 5172288 is 8822715.

It is an interprime number because it is at equal distance from previous prime (5172287) and next prime (5172289).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (5172283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65433 + ... + 65511.

Almost surely, 25172288 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 5172288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7802880).

5172288 is an abundant number, since it is smaller than the sum of its proper divisors (10433472).

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

5172288 is a wasteful number, since it uses less digits than its factorization.

5172288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 126 counting only the distinct ones).

The product of its digits is 8960, while the sum is 33.

The square root of 5172288 is about 2274.2664751519. The cubic root of 5172288 is about 172.9395135309.

It can be divided in two parts, 5172 and 288, that added together give a triangular number (5460 = T104).

The spelling of 5172288 in words is "five million, one hundred seventy-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 64 66 79 88 93 96 124 132 158 176 186 192 237 248 264 316 341 352 372 474 496 528 632 682 704 744 869 948 992 1023 1056 1264 1364 1488 1738 1896 1984 2046 2112 2449 2528 2607 2728 2976 3476 3792 4092 4898 5056 5214 5456 5952 6952 7347 7584 8184 9796 10428 10912 13904 14694 15168 16368 19592 20856 21824 26939 27808 29388 32736 39184 41712 53878 55616 58776 65472 78368 80817 83424 107756 117552 156736 161634 166848 215512 235104 323268 431024 470208 646536 862048 1293072 1724096 2586144 5172288