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2852630352 = 2433111361757
BaseRepresentation
bin1010101000000111…
…1010111101010000
321100210201122012000
42222001322331100
521320233132402
61151021434000
7130455646365
oct25201727520
97323648160
102852630352
111234265450
1267740b900
13365cc6970
141d0c0446c
1511a683c1c
hexaa07af50

2852630352 has 320 divisors, whose sum is σ = 9790206720. Its totient is φ = 783820800.

The previous prime is 2852630351. The next prime is 2852630359. The reversal of 2852630352 is 2530362582.

2852630352 is a `hidden beast` number, since 285 + 26 + 3 + 0 + 352 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2852630351) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3767958 + ... + 3768714.

It is an arithmetic number, because the mean of its divisors is an integer number (30594396).

Almost surely, 22852630352 is an apocalyptic number.

2852630352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2852630352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4895103360).

2852630352 is an abundant number, since it is smaller than the sum of its proper divisors (6937576368).

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

2852630352 is a wasteful number, since it uses less digits than its factorization.

2852630352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2852630352 is about 53410.0210821902. The cubic root of 2852630352 is about 1418.2359818474.

The spelling of 2852630352 in words is "two billion, eight hundred fifty-two million, six hundred thirty thousand, three hundred fifty-two".