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3828944700 = 2232527607769
BaseRepresentation
bin1110010000111001…
…0000111100111100
3100212211211112200200
43210032100330330
530320202212300
61431535323500
7163612331040
oct34416207474
910784745620
103828944700
111695380909
128aa380590
1349035cc69
14284748020
15176237200
hexe4390f3c

3828944700 has 108 divisors (see below), whose sum is σ = 13716153360. Its totient is φ = 875185920.

The previous prime is 3828944689. The next prime is 3828944737. The reversal of 3828944700 is 74498283.

3828944700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 297585 + ... + 310184.

It is an arithmetic number, because the mean of its divisors is an integer number (127001420).

Almost surely, 23828944700 is an apocalyptic number.

3828944700 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3828944700 is an abundant number, since it is smaller than the sum of its proper divisors (9887208660).

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

3828944700 is a wasteful number, since it uses less digits than its factorization.

3828944700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607796 (or 607786 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 3828944700 is about 61878.4671755854. The cubic root of 3828944700 is about 1564.4428329615.

The spelling of 3828944700 in words is "three billion, eight hundred twenty-eight million, nine hundred forty-four thousand, seven hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 126 140 150 175 180 210 225 252 300 315 350 420 450 525 630 700 900 1050 1260 1575 2100 3150 6300 607769 1215538 1823307 2431076 3038845 3646614 4254383 5469921 6077690 7293228 8508766 9116535 10939842 12155380 12763149 15194225 17017532 18233070 21271915 21879684 25526298 27349605 30388450 36466140 38289447 42543830 45582675 51052596 54699210 60776900 63815745 76578894 85087660 91165350 106359575 109398420 127631490 136748025 153157788 182330700 191447235 212719150 255262980 273496050 319078725 382894470 425438300 546992100 638157450 765788940 957236175 1276314900 1914472350 3828944700