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3895528820 = 225292312241
BaseRepresentation
bin1110100000110001…
…0000110101110100
3101001111010100221012
43220030100311310
530434223410240
61442314411352
7165351306611
oct35014206564
911044110835
103895528820
111719a19507
12908730b58
134a10a3a51
1428d51b508
1517bedab65
hexe8310d74

3895528820 has 108 divisors (see below), whose sum is σ = 8790874092. Its totient is φ = 1449907200.

The previous prime is 3895528817. The next prime is 3895528823. The reversal of 3895528820 is 288255983.

It is an interprime number because it is at equal distance from previous prime (3895528817) and next prime (3895528823).

It can be written as a sum of positive squares in 6 ways, for example, as 28430224 + 3867098596 = 5332^2 + 62186^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3895528823) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16163900 + ... + 16164140.

Almost surely, 23895528820 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 3895528820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4395437046).

3895528820 is an abundant number, since it is smaller than the sum of its proper divisors (4895345272).

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

3895528820 is a wasteful number, since it uses less digits than its factorization.

3895528820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 50.

The square root of 3895528820 is about 62414.1716279244. The cubic root of 3895528820 is about 1573.4591558660.

The spelling of 3895528820 in words is "three billion, eight hundred ninety-five million, five hundred twenty-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 29 31 58 62 116 124 145 155 241 290 310 482 580 620 841 899 961 964 1205 1682 1798 1922 2410 3364 3596 3844 4205 4495 4805 4820 6989 7471 8410 8990 9610 13978 14942 16820 17980 19220 26071 27869 27956 29884 34945 37355 52142 55738 69890 74710 104284 111476 130355 139345 139780 149420 202681 216659 231601 260710 278690 405362 433318 463202 521420 557380 808201 810724 866636 926404 1013405 1083295 1158005 1616402 2026810 2166590 2316010 3232804 4041005 4053620 4333180 4632020 6283111 6716429 8082010 12566222 13432858 16164020 25132444 26865716 31415555 33582145 62831110 67164290 125662220 134328580 194776441 389552882 779105764 973882205 1947764410 3895528820