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3280809952 = 25719770867
BaseRepresentation
bin1100001110001101…
…0010111111100000
322110122102102011201
43003203102333200
523204341404302
61301315050544
7144205265410
oct30343227740
98418372151
103280809952
111433a28092
127768a0a54
13403923784
14231a22640
15143061c87
hexc38d2fe0

3280809952 has 48 divisors (see below), whose sum is σ = 7770349440. Its totient is φ = 1332056448.

The previous prime is 3280809947. The next prime is 3280809977. The reversal of 3280809952 is 2599080823.

3280809952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×32808099522 = 21527427882284484608, which contains 22 as substring.

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, 381178 + ... + 389689.

It is an arithmetic number, because the mean of its divisors is an integer number (161882280).

Almost surely, 23280809952 is an apocalyptic number.

3280809952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3280809952 is an abundant number, since it is smaller than the sum of its proper divisors (4489539488).

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

3280809952 is a wasteful number, since it uses less digits than its factorization.

3280809952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770903 (or 770895 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The square root of 3280809952 is about 57278.3550043121. The cubic root of 3280809952 is about 1485.9140570060.

The spelling of 3280809952 in words is "three billion, two hundred eighty million, eight hundred nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 2128 4256 770867 1541734 3083468 5396069 6166936 10792138 12333872 14646473 21584276 24667744 29292946 43168552 58585892 86337104 102525311 117171784 172674208 205050622 234343568 410101244 468687136 820202488 1640404976 3280809952