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5142037264 = 24721321972
BaseRepresentation
bin1001100100111110…
…10100001100010000
3111021100122120001121
410302133110030100
541012330143024
62210123412024
7241265411200
oct46237241420
914240576047
105142037264
1121a9600781
12bb6084014
1363c400300
1436acb6400
152016618e4
hex1327d4310

5142037264 has 135 divisors (see below), whose sum is σ = 12613342527. Its totient is φ = 2023886592.

The previous prime is 5142037253. The next prime is 5142037321. The reversal of 5142037264 is 4627302415.

The square root of 5142037264 is 71708.

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

It can be written as a sum of positive squares in 4 ways, for example, as 320123664 + 4821913600 = 17892^2 + 69440^2 .

It is a Duffinian number.

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, 26101614 + ... + 26101810.

Almost surely, 25142037264 is an apocalyptic number.

5142037264 is the 71708-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5142037264

5142037264 is an abundant number, since it is smaller than the sum of its proper divisors (7471305263).

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

5142037264 is a wasteful number, since it uses less digits than its factorization.

5142037264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The cubic root of 5142037264 is about 1726.0170171893.

Adding to 5142037264 its reverse (4627302415), we get a palindrome (9769339679).

The spelling of 5142037264 in words is "five billion, one hundred forty-two million, thirty-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 169 182 196 197 208 338 364 392 394 637 676 728 784 788 1183 1274 1352 1379 1456 1576 2366 2548 2561 2704 2758 3152 4732 5096 5122 5516 8281 9464 9653 10192 10244 11032 16562 17927 18928 19306 20488 22064 33124 33293 35854 38612 38809 40976 66248 66586 71708 77224 77618 125489 132496 133172 143416 154448 155236 233051 250978 266344 271663 286832 310472 466102 501956 504517 532688 543326 620944 932204 1003912 1009034 1086652 1631357 1864408 1901641 2007824 2018068 2173304 3262714 3531619 3728816 3803282 4036136 4346608 6525428 6558721 7063238 7606564 8072272 13050856 13117442 14126476 15213128 24721333 26101712 26234884 28252952 30426256 45911047 49442666 52469768 56505904 91822094 98885332 104939536 183644188 197770664 321377329 367288376 395541328 642754658 734576752 1285509316 2571018632 5142037264