Search a number
-
+
4025845620 = 22325167199673
BaseRepresentation
bin1110111111110101…
…1000011101110100
3101101120100010222100
43233331120131310
531221104024440
61503251502100
7201523060146
oct35775303564
911346303870
104025845620
111786537445
129442b7930
134c20a0794
142a2960c96
1518867d230
hexeff58774

4025845620 has 144 divisors (see below), whose sum is σ = 12364934400. Its totient is φ = 1060190208.

The previous prime is 4025845619. The next prime is 4025845639. The reversal of 4025845620 is 265485204.

It is a happy number.

4025845620 is a `hidden beast` number, since 4 + 0 + 2 + 584 + 56 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5981604 + ... + 5982276.

It is an arithmetic number, because the mean of its divisors is an integer number (85867600).

Almost surely, 24025845620 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 4025845620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6182467200).

4025845620 is an abundant number, since it is smaller than the sum of its proper divisors (8339088780).

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

4025845620 is a wasteful number, since it uses less digits than its factorization.

4025845620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 4025845620 is about 63449.5517714664. The cubic root of 4025845620 is about 1590.8126615858.

The spelling of 4025845620 in words is "four billion, twenty-five million, eight hundred forty-five thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 167 180 199 334 398 501 597 668 673 796 835 995 1002 1194 1346 1503 1670 1791 1990 2004 2019 2388 2505 2692 2985 3006 3340 3365 3582 3980 4038 5010 5970 6012 6057 6730 7164 7515 8076 8955 10020 10095 11940 12114 13460 15030 17910 20190 24228 30060 30285 33233 35820 40380 60570 66466 99699 112391 121140 132932 133927 166165 199398 224782 267854 299097 332330 337173 398796 401781 449564 498495 535708 561955 598194 664660 669635 674346 803562 996990 1011519 1123910 1196388 1205343 1339270 1348692 1495485 1607124 1685865 1993980 2008905 2023038 2247820 2410686 2678540 2990970 3371730 4017810 4046076 4821372 5057595 5981940 6026715 6743460 8035620 10115190 12053430 20230380 22365809 24106860 44731618 67097427 89463236 111829045 134194854 201292281 223658090 268389708 335487135 402584562 447316180 670974270 805169124 1006461405 1341948540 2012922810 4025845620