Search a number
-
+
481846440 = 233519132099
BaseRepresentation
bin11100101110000…
…110010010101000
31020120200100001110
4130232012102220
51441323041230
6115451350320
714640425055
oct3456062250
91216610043
10481846440
11227a983a9
121154523a0
1378a9a24a
1447dcc02c
152c47e4b0
hex1cb864a8

481846440 has 64 divisors (see below), whose sum is σ = 1446984000. Its totient is φ = 128364032.

The previous prime is 481846369. The next prime is 481846507. The reversal of 481846440 is 44648184.

It is an unprimeable number.

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, 228511 + ... + 230609.

It is an arithmetic number, because the mean of its divisors is an integer number (22609125).

Almost surely, 2481846440 is an apocalyptic number.

481846440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

481846440 is an abundant number, since it is smaller than the sum of its proper divisors (965137560).

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

481846440 is a wasteful number, since it uses less digits than its factorization.

481846440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4026 (or 4022 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The square root of 481846440 is about 21951.0008883422. Note that the first 3 decimals coincide. The cubic root of 481846440 is about 783.9762114467.

Subtracting from 481846440 its sum of digits (39), we obtain a square (481846401 = 219512).

The spelling of 481846440 in words is "four hundred eighty-one million, eight hundred forty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1913 2099 3826 4198 5739 6297 7652 8396 9565 10495 11478 12594 15304 16792 19130 20990 22956 25188 28695 31485 38260 41980 45912 50376 57390 62970 76520 83960 114780 125940 229560 251880 4015387 8030774 12046161 16061548 20076935 24092322 32123096 40153870 48184644 60230805 80307740 96369288 120461610 160615480 240923220 481846440