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481352740 = 2251123251379
BaseRepresentation
bin11100101100001…
…101110000100100
31020112202020211021
4130230031300210
51441211241430
6115433020524
714633300521
oct3454156044
91215666737
10481352740
11227790490
12115254744
137895660b
1447d00148
152c3d307a
hex1cb0dc24

481352740 has 96 divisors (see below), whose sum is σ = 1158312960. Its totient is φ = 166320000.

The previous prime is 481352687. The next prime is 481352741. The reversal of 481352740 is 47253184.

481352740 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 481352696 and 481352705.

It is not an unprimeable number, because it can be changed into a prime (481352741) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1269871 + ... + 1270249.

It is an arithmetic number, because the mean of its divisors is an integer number (12065760).

Almost surely, 2481352740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481352740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579156480).

481352740 is an abundant number, since it is smaller than the sum of its proper divisors (676960220).

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

481352740 is a wasteful number, since it uses less digits than its factorization.

481352740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 481352740 is about 21939.7525054409. The cubic root of 481352740 is about 783.7083658643.

The spelling of 481352740 in words is "four hundred eighty-one million, three hundred fifty-two thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 251 253 379 460 502 506 758 1004 1012 1255 1265 1516 1895 2510 2530 2761 3790 4169 5020 5060 5522 5773 7580 8338 8717 11044 11546 13805 16676 17434 20845 23092 27610 28865 34868 41690 43585 55220 57730 63503 83380 87170 95129 95887 115460 127006 174340 190258 191774 254012 317515 380516 383548 475645 479435 635030 951290 958870 1046419 1270060 1902580 1917740 2092838 2187967 4185676 4375934 5232095 8751868 10464190 10939835 20928380 21879670 24067637 43759340 48135274 96270548 120338185 240676370 481352740