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5242493568 = 27313280783
BaseRepresentation
bin1001110000111101…
…00001101010000000
3111112100200021012110
410320132201222000
541214034243233
62224112455320
7243625313544
oct47036415200
914470607173
105242493568
112250284014
12102384a540
13657173700
1437a385a24
1520a3a6663
hex1387a1a80

5242493568 has 96 divisors (see below), whose sum is σ = 15079141440. Its totient is φ = 1613054976.

The previous prime is 5242493567. The next prime is 5242493573. The reversal of 5242493568 is 8653942425.

It is a happy number.

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 (48).

It is not an unprimeable number, because it can be changed into a prime (5242493561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24505 + ... + 105287.

It is an arithmetic number, because the mean of its divisors is an integer number (157074390).

Almost surely, 25242493568 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 5242493568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7539570720).

5242493568 is an abundant number, since it is smaller than the sum of its proper divisors (9836647872).

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

5242493568 is a wasteful number, since it uses less digits than its factorization.

5242493568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80826 (or 80801 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 48.

The square root of 5242493568 is about 72405.0659001150. The cubic root of 5242493568 is about 1737.1845921826.

The spelling of 5242493568 in words is "five billion, two hundred forty-two million, four hundred ninety-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 312 338 384 416 507 624 676 832 1014 1248 1352 1664 2028 2496 2704 4056 4992 5408 8112 10816 16224 21632 32448 64896 80783 161566 242349 323132 484698 646264 969396 1050179 1292528 1938792 2100358 2585056 3150537 3877584 4200716 5170112 6301074 7755168 8401432 10340224 12602148 13652327 15510336 16802864 25204296 27304654 31020672 33605728 40956981 50408592 54609308 67211456 81913962 100817184 109218616 134422912 163827924 201634368 218437232 327655848 403268736 436874464 655311696 873748928 1310623392 1747497856 2621246784 5242493568