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2039932928 = 211112331127
BaseRepresentation
bin111100110010110…
…1110100000000000
312021011111022220102
41321211232200000
513134210323203
6534230501532
7101360100215
oct17145564000
95234438812
102039932928
11957541890
1248b2048a8
13266819507
14154cd1b0c
15be14e888
hex7996e800

2039932928 has 192 divisors, whose sum is σ = 4830658560. Its totient is φ = 851558400.

The previous prime is 2039932927. The next prime is 2039932931. The reversal of 2039932928 is 8292399302.

It is a super-2 number, since 2×20399329282 = 8322652701477306368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2039932927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16062401 + ... + 16062527.

It is an arithmetic number, because the mean of its divisors is an integer number (25159680).

Almost surely, 22039932928 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 2039932928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415329280).

2039932928 is an abundant number, since it is smaller than the sum of its proper divisors (2790725632).

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

2039932928 is a wasteful number, since it uses less digits than its factorization.

2039932928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 47.

The square root of 2039932928 is about 45165.6166569217. The cubic root of 2039932928 is about 1268.2512414019.

The spelling of 2039932928 in words is "two billion, thirty-nine million, nine hundred thirty-two thousand, nine hundred twenty-eight".