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5085696 = 29371143
BaseRepresentation
bin10011011001101000000000
3100120101021010
4103121220000
52300220241
6301000520
761141050
oct23315000
910511233
105085696
112963a60
121853140
131090ab5
14965560
156a6d16
hex4d9a00

5085696 has 160 divisors (see below), whose sum is σ = 17284608. Its totient is φ = 1290240.

The previous prime is 5085683. The next prime is 5085709. The reversal of 5085696 is 6965805.

It is an interprime number because it is at equal distance from previous prime (5085683) and next prime (5085709).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118251 + ... + 118293.

Almost surely, 25085696 is an apocalyptic number.

5085696 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 5085696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8642304).

5085696 is an abundant number, since it is smaller than the sum of its proper divisors (12198912).

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

5085696 is a wasteful number, since it uses less digits than its factorization.

5085696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 5085696 is about 2255.1487755800. The cubic root of 5085696 is about 171.9689866564.

The spelling of 5085696 in words is "five million, eighty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 43 44 48 56 64 66 77 84 86 88 96 112 128 129 132 154 168 172 176 192 224 231 256 258 264 301 308 336 344 352 384 448 462 473 512 516 528 602 616 672 688 704 768 896 903 924 946 1032 1056 1204 1232 1344 1376 1408 1419 1536 1792 1806 1848 1892 2064 2112 2408 2464 2688 2752 2816 2838 3311 3584 3612 3696 3784 4128 4224 4816 4928 5376 5504 5632 5676 6622 7224 7392 7568 8256 8448 9632 9856 9933 10752 11008 11352 13244 14448 14784 15136 16512 16896 19264 19712 19866 22016 22704 26488 28896 29568 30272 33024 38528 39424 39732 45408 52976 57792 59136 60544 66048 77056 79464 90816 105952 115584 118272 121088 154112 158928 181632 211904 231168 242176 317856 363264 423808 462336 635712 726528 847616 1271424 1695232 2542848 5085696