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483971920 = 24528121529
BaseRepresentation
bin11100110110001…
…101001101010000
31020201200022122221
4130312031031100
51442344100140
6120005110424
714664456565
oct3466151520
91221608587
10483971920
1122920a2a3
121160b8414
1379362823
14483c286c
152c74e14a
hex1cd8d350

483971920 has 40 divisors (see below), whose sum is σ = 1129291560. Its totient is φ = 192890880.

The previous prime is 483971909. The next prime is 483971941. The reversal of 483971920 is 29179384.

It can be written as a sum of positive squares in 4 ways, for example, as 24641296 + 459330624 = 4964^2 + 21432^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

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, 11716 + ... + 33244.

It is an arithmetic number, because the mean of its divisors is an integer number (28232289).

Almost surely, 2483971920 is an apocalyptic number.

483971920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

483971920 is an abundant number, since it is smaller than the sum of its proper divisors (645319640).

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

483971920 is a wasteful number, since it uses less digits than its factorization.

483971920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21823 (or 21817 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The square root of 483971920 is about 21999.3618089253. The cubic root of 483971920 is about 785.1272570139.

The spelling of 483971920 in words is "four hundred eighty-three million, nine hundred seventy-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 281 562 1124 1405 2248 2810 4496 5620 11240 21529 22480 43058 86116 107645 172232 215290 344464 430580 861160 1722320 6049649 12099298 24198596 30248245 48397192 60496490 96794384 120992980 241985960 483971920