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3864605080 = 235731479473
BaseRepresentation
bin1110011001011001…
…0011000110011000
3100222022221021112111
43212112103012120
530403314330310
61435251522104
7164524413130
oct34626230630
910868837474
103864605080
111703517aa6
128ba2b9334
1349786748b
1428938bac0
1517942d28a
hexe6593198

3864605080 has 128 divisors (see below), whose sum is σ = 10477486080. Its totient is φ = 1254850560.

The previous prime is 3864605077. The next prime is 3864605099. The reversal of 3864605080 is 805064683.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 403224 + ... + 412696.

It is an arithmetic number, because the mean of its divisors is an integer number (81855360).

Almost surely, 23864605080 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 3864605080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5238743040).

3864605080 is an abundant number, since it is smaller than the sum of its proper divisors (6612881000).

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

3864605080 is a wasteful number, since it uses less digits than its factorization.

3864605080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9569 (or 9565 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 3864605080 is about 62165.9479136287. The cubic root of 3864605080 is about 1569.2845780970.

The spelling of 3864605080 in words is "three billion, eight hundred sixty-four million, six hundred five thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 47 56 62 70 94 124 140 155 188 217 235 248 280 310 329 376 434 470 620 658 868 940 1085 1240 1316 1457 1645 1736 1880 2170 2632 2914 3290 4340 5828 6580 7285 8680 9473 10199 11656 13160 14570 18946 20398 29140 37892 40796 47365 50995 58280 66311 75784 81592 94730 101990 132622 189460 203980 265244 293663 331555 378920 407960 445231 530488 587326 663110 890462 1174652 1326220 1468315 1780924 2055641 2226155 2349304 2652440 2936630 3116617 3561848 4111282 4452310 5873260 6233234 8222564 8904620 10278205 11746520 12466468 13802161 15583085 16445128 17809240 20556410 24932936 27604322 31166170 41112820 55208644 62332340 69010805 82225640 96615127 110417288 124664680 138021610 193230254 276043220 386460508 483075635 552086440 772921016 966151270 1932302540 3864605080