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3876717152 = 257113150753
BaseRepresentation
bin1110011100010010…
…0000001001100000
3101000011201122011202
43213010200021200
530414414422102
61440403300332
7165032360240
oct34704401140
911004648152
103876717152
11170a33aa80
1290237a6a8
1349a218499
1428ac21b20
1517a521e02
hexe7120260

3876717152 has 96 divisors (see below), whose sum is σ = 9822726144. Its totient is φ = 1461657600.

The previous prime is 3876717133. The next prime is 3876717161. The reversal of 3876717152 is 2517176783.

It is a super-2 number, since 2×38767171522 = 30057871753221982208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3876717097 and 3876717106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51008 + ... + 101760.

It is an arithmetic number, because the mean of its divisors is an integer number (102320064).

Almost surely, 23876717152 is an apocalyptic number.

3876717152 is a gapful number since it is divisible by the number (32) 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 3876717152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4911363072).

3876717152 is an abundant number, since it is smaller than the sum of its proper divisors (5946008992).

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

3876717152 is a wasteful number, since it uses less digits than its factorization.

3876717152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50812 (or 50804 counting only the distinct ones).

The product of its digits is 493920, while the sum is 47.

The square root of 3876717152 is about 62263.2889590648. The cubic root of 3876717152 is about 1570.9223017430.

The spelling of 3876717152 in words is "three billion, eight hundred seventy-six million, seven hundred seventeen thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 32 44 56 62 77 88 112 124 154 176 217 224 248 308 341 352 434 496 616 682 868 992 1232 1364 1736 2387 2464 2728 3472 4774 5456 6944 9548 10912 19096 38192 50753 76384 101506 203012 355271 406024 558283 710542 812048 1116566 1421084 1573343 1624096 2233132 2842168 3146686 3907981 4466264 5684336 6293372 7815962 8932528 11013401 11368672 12586744 15631924 17306773 17865056 22026802 25173488 31263848 34613546 44053604 50346976 62527696 69227092 88107208 121147411 125055392 138454184 176214416 242294822 276908368 352428832 484589644 553816736 969179288 1938358576 3876717152