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2835375004 = 22721113110039
BaseRepresentation
bin1010100100000000…
…0110001110011100
321022121020222022001
42221000012032130
521301324000004
61145203532044
7130156201300
oct25100061634
97277228261
102835375004
11122554a230
1267168a024
133625648b7
141cc7d1d00
15118dc61a4
hexa900639c

2835375004 has 72 divisors (see below), whose sum is σ = 6345440640. Its totient is φ = 1096149600.

The previous prime is 2835375001. The next prime is 2835375031. The reversal of 2835375004 is 4005735382.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2835375001) 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, 277417 + ... + 287455.

It is an arithmetic number, because the mean of its divisors is an integer number (88131120).

Almost surely, 22835375004 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 2835375004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3172720320).

2835375004 is an abundant number, since it is smaller than the sum of its proper divisors (3510065636).

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

2835375004 is a wasteful number, since it uses less digits than its factorization.

2835375004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10199 (or 10190 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 37.

The square root of 2835375004 is about 53248.2394450746. The cubic root of 2835375004 is about 1415.3705953688.

The spelling of 2835375004 in words is "two billion, eight hundred thirty-five million, three hundred seventy-five thousand, four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 131 154 196 262 308 524 539 917 1078 1441 1834 2156 2882 3668 5764 6419 10039 10087 12838 20078 20174 25676 40156 40348 70273 70609 110429 140546 141218 220858 281092 282436 441716 491911 773003 983822 1315109 1546006 1967644 2630218 3092012 5260436 5411021 9205763 10822042 14466199 18411526 21644084 28932398 36823052 57864796 64440341 101263393 128880682 202526786 257761364 405053572 708843751 1417687502 2835375004