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2825506640 = 245113210803
BaseRepresentation
bin1010100001101001…
…1100111101010000
321021220200121110002
42220122130331100
521241312203030
61144212225132
7130006260455
oct25032347520
97256617402
102825506640
11121aa19a60
1266a30b1a8
133604bac28
141cb38382c
151180c7245
hexa869cf50

2825506640 has 40 divisors (see below), whose sum is σ = 7166514528. Its totient is φ = 1027456640.

The previous prime is 2825506639. The next prime is 2825506657. The reversal of 2825506640 is 466055282.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 2825506594 and 2825506603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1604522 + ... + 1606281.

Almost surely, 22825506640 is an apocalyptic number.

2825506640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2825506640 is an abundant number, since it is smaller than the sum of its proper divisors (4341007888).

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

2825506640 is a wasteful number, since it uses less digits than its factorization.

2825506640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3210827 (or 3210821 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

The square root of 2825506640 is about 53155.4949182114. The cubic root of 2825506640 is about 1413.7266472893.

The spelling of 2825506640 in words is "two billion, eight hundred twenty-five million, five hundred six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 3210803 6421606 12843212 16054015 25686424 32108030 35318833 51372848 64216060 70637666 128432120 141275332 176594165 256864240 282550664 353188330 565101328 706376660 1412753320 2825506640