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2852757656 = 237273131761
BaseRepresentation
bin1010101000001001…
…1010000010011000
321100210222002210222
42222002122002120
521320301221111
61151024255212
7130460016500
oct25202320230
97323862728
102852757656
111234342061
12677471508
1336603c8a8
141d0c38a00
1511a6ab7db
hexaa09a098

2852757656 has 96 divisors (see below), whose sum is σ = 6363949680. Its totient is φ = 1195084800.

The previous prime is 2852757629. The next prime is 2852757697. The reversal of 2852757656 is 6567572582.

It is a super-2 number, since 2×28527576562 = 16276452487733228672, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2852757598 and 2852757607.

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 23 ways as a sum of consecutive naturals, for example, 3748316 + ... + 3749076.

Almost surely, 22852757656 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 2852757656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3181974840).

2852757656 is an abundant number, since it is smaller than the sum of its proper divisors (3511192024).

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

2852757656 is a wasteful number, since it uses less digits than its factorization.

2852757656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 974 counting only the distinct ones).

The product of its digits is 7056000, while the sum is 53.

The square root of 2852757656 is about 53411.2128302663. The cubic root of 2852757656 is about 1418.2570786838.

The spelling of 2852757656 in words is "two billion, eight hundred fifty-two million, seven hundred fifty-seven thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 49 56 73 98 131 146 196 262 292 392 511 524 584 761 917 1022 1048 1522 1834 2044 3044 3577 3668 4088 5327 6088 6419 7154 7336 9563 10654 12838 14308 19126 21308 25676 28616 37289 38252 42616 51352 55553 66941 74578 76504 99691 111106 133882 149156 199382 222212 267764 298312 388871 398764 444424 468587 535528 697837 777742 797528 937174 1395674 1555484 1874348 2722097 2791348 3110968 3748696 4884859 5444194 5582696 7277443 9769718 10888388 14554886 19539436 21776776 29109772 39078872 50942101 58219544 101884202 203768404 356594707 407536808 713189414 1426378828 2852757656