Search a number
-
+
481146000 = 2435380191
BaseRepresentation
bin11100101011011…
…011010010010000
31020112100202020020
4130223123102100
51441133133000
6115424343440
714631450006
oct3453332220
91215322206
10481146000
1122765a125
12115174b80
13788b349a
1447c88a76
152c391ba0
hex1cadb490

481146000 has 80 divisors (see below), whose sum is σ = 1551234048. Its totient is φ = 128304000.

The previous prime is 481145941. The next prime is 481146011. The reversal of 481146000 is 641184.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34096 + ... + 46095.

Almost surely, 2481146000 is an apocalyptic number.

481146000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

481146000 is an abundant number, since it is smaller than the sum of its proper divisors (1070088048).

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

481146000 is a wasteful number, since it uses less digits than its factorization.

481146000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80217 (or 80201 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 481146000 is about 21935.0404604140. The cubic root of 481146000 is about 783.5961494265.

Adding to 481146000 its reverse (641184), we get a palindrome (481787184).

The spelling of 481146000 in words is "four hundred eighty-one million, one hundred forty-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 80191 160382 240573 320764 400955 481146 641528 801910 962292 1202865 1283056 1603820 1924584 2004775 2405730 3207640 3849168 4009550 4811460 6014325 6415280 8019100 9622920 10023875 12028650 16038200 19245840 20047750 24057300 30071625 32076400 40095500 48114600 60143250 80191000 96229200 120286500 160382000 240573000 481146000