Search a number
-
+
481567540 = 225195323911
BaseRepresentation
bin11100101101000…
…010001100110100
31020120011011110211
4130231002030310
51441240130130
6115441355204
714635153666
oct3455021464
91216134424
10481567540
11227917903
12115338b04
1378a0030c
1447d58536
152c426a2a
hex1cb42334

481567540 has 48 divisors (see below), whose sum is σ = 1084648320. Its totient is φ = 179038080.

The previous prime is 481567447. The next prime is 481567549. The reversal of 481567540 is 45765184.

It is a junction number, because it is equal to n+sod(n) for n = 481567493 and 481567502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481567549) 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 15 ways as a sum of consecutive naturals, for example, 8185 + ... + 32095.

It is an arithmetic number, because the mean of its divisors is an integer number (22596840).

Almost surely, 2481567540 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 481567540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542324160).

481567540 is an abundant number, since it is smaller than the sum of its proper divisors (603080780).

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

481567540 is a wasteful number, since it uses less digits than its factorization.

481567540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23992 (or 23990 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The square root of 481567540 is about 21944.6471833110. The cubic root of 481567540 is about 783.8249231614.

It can be divided in two parts, 48156 and 7540, that added together give a square (55696 = 2362).

The spelling of 481567540 in words is "four hundred eighty-one million, five hundred sixty-seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 19 20 38 53 76 95 106 190 212 265 380 530 1007 1060 2014 4028 5035 10070 20140 23911 47822 95644 119555 239110 454309 478220 908618 1267283 1817236 2271545 2534566 4543090 5069132 6336415 9086180 12672830 24078377 25345660 48156754 96313508 120391885 240783770 481567540