Search a number
-
+
4286125060 = 225721492197
BaseRepresentation
bin1111111101111001…
…0001010000000100
3102001201002201020121
43333132101100010
532234222000220
61545150311324
7211133314300
oct37736212004
912051081217
104286125060
1118aa451218
129b74b8544
13533ca1c99
142c9354d00
151a1442eaa
hexff791404

4286125060 has 108 divisors (see below), whose sum is σ = 10594642212. Its totient is φ = 1452256512.

The previous prime is 4286125057. The next prime is 4286125073. The reversal of 4286125060 is 605216824.

4286125060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 145974724 + 4140150336 = 12082^2 + 64344^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21756882 + ... + 21757078.

It is an arithmetic number, because the mean of its divisors is an integer number (98098539).

Almost surely, 24286125060 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 4286125060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5297321106).

4286125060 is an abundant number, since it is smaller than the sum of its proper divisors (6308517152).

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

4286125060 is a wasteful number, since it uses less digits than its factorization.

4286125060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 4286125060 is about 65468.5043360546. The cubic root of 4286125060 is about 1624.3824158878.

The spelling of 4286125060 in words is "four billion, two hundred eighty-six million, one hundred twenty-five thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 149 196 197 245 298 394 490 596 745 788 980 985 1043 1379 1490 1970 2086 2758 2980 3940 4172 5215 5516 6895 7301 9653 10430 13790 14602 19306 20860 22201 27580 29204 29353 36505 38612 44402 48265 58706 73010 88804 96530 111005 117412 146020 146765 155407 193060 205471 222010 293530 310814 410942 444020 587060 621628 777035 821884 1027355 1087849 1438297 1554070 2054710 2175698 2876594 3108140 4109420 4351396 4373597 5439245 5753188 7191485 8747194 10878490 14382970 17494388 21756980 21867985 28765940 30615179 43735970 61230358 87471940 122460716 153075895 214306253 306151790 428612506 612303580 857225012 1071531265 2143062530 4286125060