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5237706384 = 24323721632
BaseRepresentation
bin1001110000011000…
…10000111010010000
3111112000200001102100
410320030100322100
541211323101014
62223422120400
7243536525001
oct47014207220
914460601370
105237706384
112248604369
121022120100
13656188761
1437989b1a8
15209c5d009
hex138310e90

5237706384 has 135 divisors (see below), whose sum is σ = 15158172393. Its totient is φ = 1688294016.

The previous prime is 5237706343. The next prime is 5237706407. The reversal of 5237706384 is 4836077325.

The square root of 5237706384 is 72372.

It is a perfect power (a square), and thus also a powerful number.

5237706384 is a `hidden beast` number, since 5 + 2 + 3 + 7 + 7 + 0 + 638 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4686771600 + 550934784 = 68460^2 + 23472^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 32133087 + ... + 32133249.

Almost surely, 25237706384 is an apocalyptic number.

5237706384 is the 72372-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5237706384

5237706384 is an abundant number, since it is smaller than the sum of its proper divisors (9920466009).

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

5237706384 is a wasteful number, since it uses less digits than its factorization.

5237706384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The cubic root of 5237706384 is about 1736.6556610050.

The spelling of 5237706384 in words is "five billion, two hundred thirty-seven million, seven hundred six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 163 222 296 326 333 444 489 592 652 666 888 978 1304 1332 1369 1467 1776 1956 2608 2664 2738 2934 3912 4107 5328 5476 5868 6031 7824 8214 10952 11736 12062 12321 16428 18093 21904 23472 24124 24642 26569 32856 36186 48248 49284 53138 54279 65712 72372 79707 96496 98568 106276 108558 144744 159414 197136 212552 217116 223147 239121 289488 318828 425104 434232 446294 478242 637656 669441 868464 892588 956484 983053 1275312 1338882 1785176 1912968 1966106 2008323 2677764 2949159 3570352 3825936 3932212 4016646 5355528 5898318 7864424 8033292 8847477 10711056 11796636 15728848 16066584 17694954 23593272 32133168 35389908 36372961 47186544 70779816 72745922 109118883 141559632 145491844 218237766 290983688 327356649 436475532 581967376 654713298 872951064 1309426596 1745902128 2618853192 5237706384