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3828050600 = 2352117732251
BaseRepresentation
bin1110010000101011…
…0110101010101000
3100212210011010012212
43210022312222220
530314440104400
61431504224252
7163601615243
oct34412665250
910783133185
103828050600
111694920090
128aa00b088
13490108cca
1428459425a
1517610c335
hexe42b6aa8

3828050600 has 96 divisors (see below), whose sum is σ = 9726207840. Its totient is φ = 1389600000.

The previous prime is 3828050581. The next prime is 3828050617. The reversal of 3828050600 is 60508283.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1699475 + ... + 1701725.

It is an arithmetic number, because the mean of its divisors is an integer number (101314665).

Almost surely, 23828050600 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 3828050600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4863103920).

3828050600 is an abundant number, since it is smaller than the sum of its proper divisors (5898157240).

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

3828050600 is a wasteful number, since it uses less digits than its factorization.

3828050600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3051 (or 3042 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 3828050600 is about 61871.2421081071. The cubic root of 3828050600 is about 1564.3210520413.

Adding to 3828050600 its reverse (60508283), we get a palindrome (3888558883).

The spelling of 3828050600 in words is "three billion, eight hundred twenty-eight million, fifty thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 773 1100 1546 2200 2251 3092 3865 4502 6184 7730 8503 9004 11255 15460 17006 18008 19325 22510 24761 30920 34012 38650 42515 45020 49522 56275 68024 77300 85030 90040 99044 112550 123805 154600 170060 198088 212575 225100 247610 340120 425150 450200 495220 619025 850300 990440 1238050 1700600 1740023 2476100 3480046 4952200 6960092 8700115 13920184 17400230 19140253 34800460 38280506 43500575 69600920 76561012 87001150 95701265 153122024 174002300 191402530 348004600 382805060 478506325 765610120 957012650 1914025300 3828050600