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3825870432 = 25373545929
BaseRepresentation
bin1110010000001010…
…0010011001100000
3100212122001100120220
43210002202121200
530313410323212
61431345403040
7163544235126
oct34402423140
910778040526
103825870432
11169367109a
128a9339480
1348c824877
14284187916
15175d2b38c
hexe40a2660

3825870432 has 48 divisors (see below), whose sum is σ = 10180502640. Its totient is φ = 1257818112.

The previous prime is 3825870409. The next prime is 3825870463. The reversal of 3825870432 is 2340785283.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 265957 + ... + 279972.

It is an arithmetic number, because the mean of its divisors is an integer number (212093805).

Almost surely, 23825870432 is an apocalyptic number.

3825870432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3825870432 is an abundant number, since it is smaller than the sum of its proper divisors (6354632208).

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

3825870432 is a wasteful number, since it uses less digits than its factorization.

3825870432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546015 (or 546007 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 3825870432 is about 61853.6210096062. The cubic root of 3825870432 is about 1564.0240226729.

The spelling of 3825870432 in words is "three billion, eight hundred twenty-five million, eight hundred seventy thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 876 1168 1752 2336 3504 7008 545929 1091858 1637787 2183716 3275574 4367432 6551148 8734864 13102296 17469728 26204592 39852817 52409184 79705634 119558451 159411268 239116902 318822536 478233804 637645072 956467608 1275290144 1912935216 3825870432