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1483006976 = 21011211969
BaseRepresentation
bin101100001100100…
…1110010000000000
310211100112120010022
41120121032100000
511014122210401
6403053553012
751515231333
oct13031162000
93740476108
101483006976
116a1134100
123547a5768
131a8322729
14100d5c61a
158a2de71b
hex5864e400

1483006976 has 66 divisors (see below), whose sum is σ = 3258844470. Its totient is φ = 674037760.

The previous prime is 1483006963. The next prime is 1483006991. The reversal of 1483006976 is 6796003841.

It can be written as a sum of positive squares in only one way, i.e., 959512576 + 523494400 = 30976^2 + 22880^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 117920 + ... + 129888.

Almost surely, 21483006976 is an apocalyptic number.

1483006976 is a gapful number since it is divisible by the number (16) 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 1483006976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629422235).

1483006976 is an abundant number, since it is smaller than the sum of its proper divisors (1775837494).

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

1483006976 is a wasteful number, since it uses less digits than its factorization.

1483006976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12011 (or 11982 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The square root of 1483006976 is about 38509.8296023236. The cubic root of 1483006976 is about 1140.3751140651.

The spelling of 1483006976 in words is "one billion, four hundred eighty-three million, six thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1024 1408 1936 2816 3872 5632 7744 11264 11969 15488 23938 30976 47876 61952 95752 123904 131659 191504 263318 383008 526636 766016 1053272 1448249 1532032 2106544 2896498 3064064 4213088 5792996 6128128 8426176 11585992 12256256 16852352 23171984 33704704 46343968 67409408 92687936 134818816 185375872 370751744 741503488 1483006976