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5241086448 = 24313113239311
BaseRepresentation
bin1001110000110010…
…01010000111110000
3111112021000202222220
410320121022013300
541213204231243
62224022401040
7243610333263
oct47031120760
914467022886
105241086448
11224a502904
121023290180
13656aa00b0
1437a0dacda
1520a1c9783
hex13864a1f0

5241086448 has 160 divisors (see below), whose sum is σ = 14819051520. Its totient is φ = 1586565120.

The previous prime is 5241086437. The next prime is 5241086453. The reversal of 5241086448 is 8446801425.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16852213 + ... + 16852523.

It is an arithmetic number, because the mean of its divisors is an integer number (92619072).

Almost surely, 25241086448 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 5241086448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7409525760).

5241086448 is an abundant number, since it is smaller than the sum of its proper divisors (9577965072).

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

5241086448 is a wasteful number, since it uses less digits than its factorization.

5241086448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The square root of 5241086448 is about 72395.3482483509. The cubic root of 5241086448 is about 1737.0291543243.

The spelling of 5241086448 in words is "five billion, two hundred forty-one million, eighty-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 113 156 208 226 239 311 312 339 452 478 622 624 678 717 904 933 956 1244 1356 1434 1469 1808 1866 1912 2488 2712 2868 2938 3107 3732 3824 4043 4407 4976 5424 5736 5876 6214 7464 8086 8814 9321 11472 11752 12129 12428 14928 16172 17628 18642 23504 24258 24856 27007 32344 35143 35256 37284 48516 49712 54014 64688 70286 70512 74329 74568 81021 97032 105429 108028 140572 148658 149136 162042 194064 210858 216056 222987 281144 297316 324084 351091 421716 432112 445974 456859 562288 594632 648168 702182 843432 891948 913718 966277 1053273 1189264 1296336 1370577 1404364 1686864 1783896 1827436 1932554 2106546 2741154 2808728 2898831 3567792 3654872 3865108 4213092 5482308 5617456 5797662 7309744 7730216 8399177 8426184 10964616 11595324 15460432 16798354 16852368 21929232 23190648 25197531 33596708 46381296 50395062 67193416 100790124 109189301 134386832 201580248 218378602 327567903 403160496 436757204 655135806 873514408 1310271612 1747028816 2620543224 5241086448