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5235262848 = 27338318251
BaseRepresentation
bin1001110000000101…
…11100010110000000
3111111212001220112000
410320002330112000
541210211402343
62223253504000
7243506666664
oct47002742600
914455056460
105235262848
112247195512
121021342000
1365581148a
143794228a4
15209928ed3
hex1380bc580

5235262848 has 128 divisors (see below), whose sum is σ = 15638313600. Its totient is φ = 1723968000.

The previous prime is 5235262847. The next prime is 5235262853. The reversal of 5235262848 is 8482625325.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×52352628482 = 54815954175298142208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5235262847) 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, 277723 + ... + 295973.

It is an arithmetic number, because the mean of its divisors is an integer number (122174325).

Almost surely, 25235262848 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 5235262848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7819156800).

5235262848 is an abundant number, since it is smaller than the sum of its proper divisors (10403050752).

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

5235262848 is a wasteful number, since it uses less digits than its factorization.

5235262848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18357 (or 18339 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The square root of 5235262848 is about 72355.1162531027. The cubic root of 5235262848 is about 1736.3855529078.

The spelling of 5235262848 in words is "five billion, two hundred thirty-five million, two hundred sixty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 83 96 108 128 144 166 192 216 249 288 332 384 432 498 576 664 747 864 996 1152 1328 1494 1728 1992 2241 2656 2988 3456 3984 4482 5312 5976 7968 8964 10624 11952 15936 17928 18251 23904 31872 35856 36502 47808 54753 71712 73004 95616 109506 143424 146008 164259 219012 286848 292016 328518 438024 492777 584032 657036 876048 985554 1168064 1314072 1514833 1752096 1971108 2336128 2628144 3029666 3504192 3942216 4544499 5256288 6059332 7008384 7884432 9088998 10512576 12118664 13633497 15768864 18177996 21025152 24237328 27266994 31537728 36355992 40900491 48474656 54533988 63075456 72711984 81800982 96949312 109067976 145423968 163601964 193898624 218135952 290847936 327203928 436271904 581695872 654407856 872543808 1308815712 1745087616 2617631424 5235262848