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485936640 = 29325723131
BaseRepresentation
bin11100111101101…
…100111000000000
31020212101010202100
4130331230320000
51443344433030
6120115150400
715020251620
oct3475547000
91225333670
10485936640
1122a331432
121168a5400
137989cb97
1448774880
152c9db360
hex1cf6ce00

485936640 has 480 divisors, whose sum is σ = 2022299136. Its totient is φ = 105431040.

The previous prime is 485936603. The next prime is 485936641. The reversal of 485936640 is 46639584.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×4859366402 = 472268836188979200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (485936641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3709375 + ... + 3709505.

Almost surely, 2485936640 is an apocalyptic number.

485936640 is a gapful number since it is divisible by the number (40) 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 485936640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011149568).

485936640 is an abundant number, since it is smaller than the sum of its proper divisors (1536362496).

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

485936640 is a wasteful number, since it uses less digits than its factorization.

485936640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 485936640 is about 22043.9706042265. The cubic root of 485936640 is about 786.1882500752.

The spelling of 485936640 in words is "four hundred eighty-five million, nine hundred thirty-six thousand, six hundred forty".