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3876220008 = 233471173487
BaseRepresentation
bin1110011100001010…
…0110110001101000
3101000010210101020000
43213002212301220
530414303020013
61440344503000
7165025216653
oct34702466150
911003711200
103876220008
11170a030511
1290217aa60
1349a0a310b
1428ab3289a
1517a474973
hexe70a6c68

3876220008 has 160 divisors (see below), whose sum is σ = 11096300160. Its totient is φ = 1263911040.

The previous prime is 3876220003. The next prime is 3876220009. The reversal of 3876220008 is 8000226783.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3876220003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7959141 + ... + 7959627.

It is an arithmetic number, because the mean of its divisors is an integer number (69351876).

Almost surely, 23876220008 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 3876220008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5548150080).

3876220008 is an abundant number, since it is smaller than the sum of its proper divisors (7220080152).

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

3876220008 is a wasteful number, since it uses less digits than its factorization.

3876220008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3876220008 is about 62259.2965588273. The cubic root of 3876220008 is about 1570.8551480188.

The spelling of 3876220008 in words is "three billion, eight hundred seventy-six million, two hundred twenty thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 81 108 142 162 173 213 216 284 324 346 426 487 519 568 639 648 692 852 974 1038 1278 1384 1461 1557 1704 1917 1948 2076 2556 2922 3114 3834 3896 4152 4383 4671 5112 5751 5844 6228 7668 8766 9342 11502 11688 12283 12456 13149 14013 15336 17532 18684 23004 24566 26298 28026 34577 35064 36849 37368 39447 46008 49132 52596 56052 69154 73698 78894 84251 98264 103731 105192 110547 112104 138308 147396 157788 168502 207462 221094 252753 276616 294792 311193 315576 331641 337004 414924 442188 505506 622386 663282 674008 758259 829848 884376 933579 994923 1011012 1244772 1326564 1516518 1867158 1989846 2022024 2274777 2489544 2653128 2800737 3033036 3734316 3979692 4549554 5601474 5981821 6066072 6824331 7468632 7959384 9099108 11202948 11963642 13648662 17945463 18198216 22405896 23927284 27297324 35890926 47854568 53836389 54594648 71781852 107672778 143563704 161509167 215345556 323018334 430691112 484527501 646036668 969055002 1292073336 1938110004 3876220008