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4640644000 = 25531160161
BaseRepresentation
bin1000101001001101…
…01001101110100000
3102222102012010210201
410110212221232200
534001001102000
62044253034544
7222666552226
oct42446515640
912872163721
104640644000
111a71582583
12a96185a54
1358c57acc5
1432047ab16
151c262096a
hex1149a9ba0

4640644000 has 48 divisors (see below), whose sum is σ = 11402072136. Its totient is φ = 1856256000.

The previous prime is 4640643989. The next prime is 4640644031. The reversal of 4640644000 is 4460464.

It can be written as a sum of positive squares in 4 ways, for example, as 2002383504 + 2638260496 = 44748^2 + 51364^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4640644000.

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, 576081 + ... + 584080.

Almost surely, 24640644000 is an apocalyptic number.

4640644000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4640644000 is an abundant number, since it is smaller than the sum of its proper divisors (6761428136).

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

4640644000 is a wasteful number, since it uses less digits than its factorization.

4640644000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160186 (or 1160168 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 4640644000 is about 68122.2724224611. The cubic root of 4640644000 is about 1667.9873443210.

The spelling of 4640644000 in words is "four billion, six hundred forty million, six hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 1160161 2320322 4640644 5800805 9281288 11601610 18562576 23203220 29004025 37125152 46406440 58008050 92812880 116016100 145020125 185625760 232032200 290040250 464064400 580080500 928128800 1160161000 2320322000 4640644000