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1920437856 = 25332222729
BaseRepresentation
bin111001001110111…
…1000111001100000
311221211122100111000
41302131320321200
512413113002411
6514321352000
765406311121
oct16235707140
94854570430
101920437856
118a6045427
12457198600
13247b3b37c
141430a8048
15b38e8956
hex72778e60

1920437856 has 48 divisors (see below), whose sum is σ = 5601279600. Its totient is φ = 640145664.

The previous prime is 1920437851. The next prime is 1920437873. The reversal of 1920437856 is 6587340291.

1920437856 is digitally balanced in base 4 and base 10, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

1920437856 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1920437851) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1110501 + ... + 1112228.

It is an arithmetic number, because the mean of its divisors is an integer number (116693325).

It is a 1-persistent number, because it is pandigital, but 2⋅1920437856 = 3840875712 is not.

Almost surely, 21920437856 is an apocalyptic number.

1920437856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1920437856 is an abundant number, since it is smaller than the sum of its proper divisors (3680841744).

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

1920437856 is a wasteful number, since it uses less digits than its factorization.

1920437856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2222748 (or 2222734 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1920437856 is about 43822.8006407623. The cubic root of 1920437856 is about 1242.9874757834.

The spelling of 1920437856 in words is "one billion, nine hundred twenty million, four hundred thirty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 2222729 4445458 6668187 8890916 13336374 17781832 20004561 26672748 35563664 40009122 53345496 60013683 71127328 80018244 106690992 120027366 160036488 213381984 240054732 320072976 480109464 640145952 960218928 1920437856