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5235417216 = 27327957527
BaseRepresentation
bin1001110000000111…
…00010000010000000
3111111212100202021100
410320003202002000
541210231322331
62223301054400
7243511212021
oct47003420200
914455322240
105235417216
112247290497
1210213b7400
13655866813
14379462c48
15209959ae6
hex1380e2080

5235417216 has 96 divisors (see below), whose sum is σ = 15256425600. Its totient is φ = 1723018752.

The previous prime is 5235417203. The next prime is 5235417233. The reversal of 5235417216 is 6127145325.

5235417216 is a `hidden beast` number, since 5 + 23 + 5 + 417 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62245 + ... + 119771.

It is an arithmetic number, because the mean of its divisors is an integer number (158921100).

Almost surely, 25235417216 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 5235417216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7628212800).

5235417216 is an abundant number, since it is smaller than the sum of its proper divisors (10021008384).

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

5235417216 is a wasteful number, since it uses less digits than its factorization.

5235417216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57626 (or 57611 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 5235417216 is about 72356.1829839026. The cubic root of 5235417216 is about 1736.4026192098.

The spelling of 5235417216 in words is "five billion, two hundred thirty-five million, four hundred seventeen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 79 96 128 144 158 192 237 288 316 384 474 576 632 711 948 1152 1264 1422 1896 2528 2844 3792 5056 5688 7584 10112 11376 15168 22752 30336 45504 57527 91008 115054 172581 230108 345162 460216 517743 690324 920432 1035486 1380648 1840864 2070972 2761296 3681728 4141944 4544633 5522592 7363456 8283888 9089266 11045184 13633899 16567776 18178532 22090368 27267798 33135552 36357064 40901697 54535596 66271104 72714128 81803394 109071192 145428256 163606788 218142384 290856512 327213576 436284768 581713024 654427152 872569536 1308854304 1745139072 2617708608 5235417216