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3846027680 = 255115341231
BaseRepresentation
bin1110010100111101…
…1011100110100000
3100221000222110010122
43211033123212200
530334040341210
61433345415412
7164210460455
oct34517334640
910830873118
103846027680
1116a3a89580
128b403a568
13493a61731
14286b1382c
151779adb55
hexe53db9a0

3846027680 has 96 divisors (see below), whose sum is σ = 10099531008. Its totient is φ = 1372134400.

The previous prime is 3846027667. The next prime is 3846027683. The reversal of 3846027680 is 867206483.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (3846027683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72665 + ... + 113895.

It is an arithmetic number, because the mean of its divisors is an integer number (105203448).

Almost surely, 23846027680 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 3846027680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5049765504).

3846027680 is an abundant number, since it is smaller than the sum of its proper divisors (6253503328).

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

3846027680 is a wasteful number, since it uses less digits than its factorization.

3846027680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41310 (or 41302 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The square root of 3846027680 is about 62016.3501022109. The cubic root of 3846027680 is about 1566.7659881703.

The spelling of 3846027680 in words is "three billion, eight hundred forty-six million, twenty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 53 55 80 88 106 110 160 176 212 220 265 352 424 440 530 583 848 880 1060 1166 1696 1760 2120 2332 2915 4240 4664 5830 8480 9328 11660 18656 23320 41231 46640 82462 93280 164924 206155 329848 412310 453541 659696 824620 907082 1319392 1649240 1814164 2185243 2267705 3298480 3628328 4370486 4535410 6596960 7256656 8740972 9070820 10926215 14513312 17481944 18141640 21852430 24037673 34963888 36283280 43704860 48075346 69927776 72566560 87409720 96150692 120188365 174819440 192301384 240376730 349638880 384602768 480753460 769205536 961506920 1923013840 3846027680