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3828503800 = 2352111991591
BaseRepresentation
bin1110010000110010…
…0101010011111000
3100212211000010220001
43210030211103320
530320044110200
61431522042344
7163605513442
oct34414452370
910784003801
103828503800
1116950aa630
128aa1a93b4
13490237384
14284671492
1517619b76a
hexe43254f8

3828503800 has 96 divisors (see below), whose sum is σ = 10221667200. Its totient is φ = 1318896000.

The previous prime is 3828503737. The next prime is 3828503807. The reversal of 3828503800 is 83058283.

It is a happy number.

It is a super-2 number, since 2×38285038002 = 29314882693228880000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3828503800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3828503807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3996 + ... + 87595.

It is an arithmetic number, because the mean of its divisors is an integer number (106475700).

Almost surely, 23828503800 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 3828503800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5110833600).

3828503800 is an abundant number, since it is smaller than the sum of its proper divisors (6393163400).

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

3828503800 is a wasteful number, since it uses less digits than its factorization.

3828503800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91637 (or 91628 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 3828503800 is about 61874.9044443707. The cubic root of 3828503800 is about 1564.3827825319.

The spelling of 3828503800 in words is "three billion, eight hundred twenty-eight million, five hundred three thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 19 20 22 25 38 40 44 50 55 76 88 95 100 110 152 190 200 209 220 275 380 418 440 475 550 760 836 950 1045 1100 1672 1900 2090 2200 3800 4180 5225 8360 10450 20900 41800 91591 183182 366364 457955 732728 915910 1007501 1740229 1831820 2015002 2289775 3480458 3663640 4030004 4579550 5037505 6960916 8060008 8701145 9159100 10075010 13921832 17402290 18318200 19142519 20150020 25187525 34804580 38285038 40300040 43505725 50375050 69609160 76570076 87011450 95712595 100750100 153140152 174022900 191425190 201500200 348045800 382850380 478562975 765700760 957125950 1914251900 3828503800