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5142835376 = 247217834649
BaseRepresentation
bin1001100101000100…
…10111000010110000
3111021102011002212022
410302202113002300
541013031213001
62210152451012
7241305244100
oct46242270260
914242132768
105142835376
1121a9aa6378
12bb63a9a68
1363c61c673
1436b043200
1520176d11b
hex1328970b0

5142835376 has 120 divisors (see below), whose sum is σ = 12423423600. Its totient is φ = 2048987136.

The previous prime is 5142835367. The next prime is 5142835403. The reversal of 5142835376 is 6735382415.

It is a super-2 number, since 2×51428353762 = 52897511409274122752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1103900 + ... + 1108548.

It is an arithmetic number, because the mean of its divisors is an integer number (103528530).

Almost surely, 25142835376 is an apocalyptic number.

5142835376 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5142835376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6211711800).

5142835376 is an abundant number, since it is smaller than the sum of its proper divisors (7280588224).

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

5142835376 is a wasteful number, since it uses less digits than its factorization.

5142835376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4771 (or 4758 counting only the distinct ones).

The product of its digits is 604800, while the sum is 44.

The square root of 5142835376 is about 71713.5647977424. The cubic root of 5142835376 is about 1726.1063127711.

The spelling of 5142835376 in words is "five billion, one hundred forty-two million, eight hundred thirty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 17 28 34 49 56 68 83 98 112 119 136 166 196 238 272 332 392 476 581 664 784 833 952 1162 1328 1411 1666 1904 2324 2822 3332 4067 4648 4649 5644 6664 8134 9296 9298 9877 11288 13328 16268 18596 19754 22576 32536 32543 37192 39508 65072 65086 69139 74384 79016 79033 130172 138278 158032 158066 227801 260344 276556 316132 385867 455602 520688 553112 553231 632264 771734 911204 1106224 1106462 1264528 1543468 1822408 2212924 2701069 3086936 3644816 3872617 4425848 5402138 6173872 6559739 7745234 8851696 10804276 13119478 15490468 18907483 21608552 26238956 30980936 37814966 43217104 45918173 52477912 61961872 75629932 91836346 104955824 151259864 183672692 302519728 321427211 367345384 642854422 734690768 1285708844 2571417688 5142835376