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5235333408 = 253273249017
BaseRepresentation
bin1001110000000110…
…01101100100100000
3111111212012111022100
410320003031210200
541210221132113
62223255210400
7243510412464
oct47003154440
914455174270
105235333408
112247233528
121021376a00
13655837626
143794404a4
1520993ed73
hex1380cd920

5235333408 has 72 divisors (see below), whose sum is σ = 15091984908. Its totient is φ = 1721198592.

The previous prime is 5235333403. The next prime is 5235333421. The reversal of 5235333408 is 8043335325.

It can be written as a sum of positive squares in 2 ways, for example, as 4370267664 + 865065744 = 66108^2 + 29412^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5235333401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103485 + ... + 145532.

Almost surely, 25235333408 is an apocalyptic number.

It is an amenable number.

5235333408 is an abundant number, since it is smaller than the sum of its proper divisors (9856651500).

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

5235333408 is a wasteful number, since it uses less digits than its factorization.

5235333408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249106 (or 249095 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 5235333408 is about 72355.6038465577. The cubic root of 5235333408 is about 1736.3933537778.

The spelling of 5235333408 in words is "five billion, two hundred thirty-five million, three hundred thirty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 73 96 144 146 219 288 292 438 584 657 876 1168 1314 1752 2336 2628 3504 5256 7008 10512 21024 249017 498034 747051 996068 1494102 1992136 2241153 2988204 3984272 4482306 5976408 7968544 8964612 11952816 17929224 18178241 23905632 35858448 36356482 54534723 71716896 72712964 109069446 145425928 163604169 218138892 290851856 327208338 436277784 581703712 654416676 872555568 1308833352 1745111136 2617666704 5235333408