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423941544 = 2332136732
BaseRepresentation
bin11001010001001…
…101010110101000
31002112201110110200
4121101031112220
51332012112134
6110022312200
713335305115
oct3121152650
91075643420
10423941544
111a8338614
12b9b88660
1369aa4ab0
144043790c
1527342499
hex1944d5a8

423941544 has 72 divisors (see below), whose sum is σ = 1238336190. Its totient is φ = 130249728.

The previous prime is 423941537. The next prime is 423941549. The reversal of 423941544 is 445149324.

423941544 is a `hidden beast` number, since 4 + 23 + 94 + 1 + 544 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 220879044 + 203062500 = 14862^2 + 14250^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 423941499 and 423941508.

It is not an unprimeable number, because it can be changed into a prime (423941549) 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 17 ways as a sum of consecutive naturals, for example, 629592 + ... + 630264.

Almost surely, 2423941544 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 423941544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619168095).

423941544 is an abundant number, since it is smaller than the sum of its proper divisors (814394646).

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

423941544 is a wasteful number, since it uses less digits than its factorization.

423941544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 691 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 423941544 is about 20589.8407958877. The cubic root of 423941544 is about 751.2226245027. Note that the first 3 decimals are identical.

The spelling of 423941544 in words is "four hundred twenty-three million, nine hundred forty-one thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 673 936 1346 2019 2692 4038 5384 6057 8076 8749 12114 16152 17498 24228 26247 34996 48456 52494 69992 78741 104988 157482 209976 314964 452929 629928 905858 1358787 1811716 2717574 3623432 4076361 5435148 5888077 8152722 10870296 11776154 16305444 17664231 23552308 32610888 35328462 47104616 52992693 70656924 105985386 141313848 211970772 423941544