Search a number
-
+
5337696 = 253713247
BaseRepresentation
bin10100010111001001100000
3101001011221110
4110113021200
52331301241
6310223320
763240540
oct24271140
911034843
105337696
113016321
121954b40
13114b700
149cd320
15706816
hex517260

5337696 has 144 divisors (see below), whose sum is σ = 17708544. Its totient is φ = 1377792.

The previous prime is 5337691. The next prime is 5337697. The reversal of 5337696 is 6967335.

5337696 = T296 + T297 + ... + T386.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5337691) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113545 + ... + 113591.

It is an arithmetic number, because the mean of its divisors is an integer number (122976).

Almost surely, 25337696 is an apocalyptic number.

5337696 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 5337696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8854272).

5337696 is an abundant number, since it is smaller than the sum of its proper divisors (12370848).

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

5337696 is a wasteful number, since it uses less digits than its factorization.

5337696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 72 counting only the distinct ones).

The product of its digits is 102060, while the sum is 39.

The square root of 5337696 is about 2310.3454287184. The cubic root of 5337696 is about 174.7637192182.

The spelling of 5337696 in words is "five million, three hundred thirty-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 47 48 52 56 78 84 91 94 96 104 112 141 156 168 169 182 188 208 224 273 282 312 329 336 338 364 376 416 507 546 564 611 624 658 672 676 728 752 987 1014 1092 1128 1183 1222 1248 1316 1352 1456 1504 1833 1974 2028 2184 2256 2366 2444 2632 2704 2912 3549 3666 3948 4056 4277 4368 4512 4732 4888 5264 5408 7098 7332 7896 7943 8112 8554 8736 9464 9776 10528 12831 14196 14664 15792 15886 16224 17108 18928 19552 23829 25662 28392 29328 31584 31772 34216 37856 47658 51324 55601 56784 58656 63544 68432 95316 102648 111202 113568 127088 136864 166803 190632 205296 222404 254176 333606 381264 410592 444808 667212 762528 889616 1334424 1779232 2668848 5337696