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5027616 = 253311232
BaseRepresentation
bin10011001011011100100000
3100110102121000
4103023130200
52241340431
6255432000
760506526
oct23133440
910412530
105027616
112924360
121825600
131070529
1494c316
156949e6
hex4cb720

5027616 has 144 divisors (see below), whose sum is σ = 16722720. Its totient is φ = 1457280.

The previous prime is 5027591. The next prime is 5027621. The reversal of 5027616 is 6167205.

5027616 = T59 + T60 + ... + T311.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 5027616.

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, 218581 + ... + 218603.

It is an arithmetic number, because the mean of its divisors is an integer number (116130).

Almost surely, 25027616 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 5027616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8361360).

5027616 is an abundant number, since it is smaller than the sum of its proper divisors (11695104).

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

5027616 is a wasteful number, since it uses less digits than its factorization.

5027616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 5027616 is about 2242.2345996795. The cubic root of 5027616 is about 171.3118348104.

It can be divided in two parts, 502 and 7616, that added together give a palindrome (8118).

The spelling of 5027616 in words is "five million, twenty-seven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 23 24 27 32 33 36 44 46 48 54 66 69 72 88 92 96 99 108 132 138 144 176 184 198 207 216 253 264 276 288 297 352 368 396 414 432 506 528 529 552 594 621 736 759 792 828 864 1012 1056 1058 1104 1188 1242 1518 1584 1587 1656 2024 2116 2208 2277 2376 2484 3036 3168 3174 3312 4048 4232 4554 4752 4761 4968 5819 6072 6348 6624 6831 8096 8464 9108 9504 9522 9936 11638 12144 12696 13662 14283 16928 17457 18216 19044 19872 23276 24288 25392 27324 28566 34914 36432 38088 46552 50784 52371 54648 57132 69828 72864 76176 93104 104742 109296 114264 139656 152352 157113 186208 209484 218592 228528 279312 314226 418968 457056 558624 628452 837936 1256904 1675872 2513808 5027616