Search a number
-
+
423552132 = 223331731733
BaseRepresentation
bin11001001111101…
…110010010000100
31002111222200022000
4121033232102010
51331412132012
6110010105300
713332063603
oct3117562204
91074880260
10423552132
111a80a1a93
12b9a1b230
1369999783
1440375a3a
15272b6ddc
hex193ee484

423552132 has 96 divisors (see below), whose sum is σ = 1149711360. Its totient is φ = 134680320.

The previous prime is 423552121. The next prime is 423552139. The reversal of 423552132 is 231255324.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 423552096 and 423552105.

It is not an unprimeable number, because it can be changed into a prime (423552139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243538 + ... + 245270.

It is an arithmetic number, because the mean of its divisors is an integer number (11976160).

Almost surely, 2423552132 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 423552132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574855680).

423552132 is an abundant number, since it is smaller than the sum of its proper divisors (726159228).

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

423552132 is a wasteful number, since it uses less digits than its factorization.

423552132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850 (or 1842 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 423552132 is about 20580.3822121942. The cubic root of 423552132 is about 750.9925419013.

The spelling of 423552132 in words is "four hundred twenty-three million, five hundred fifty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 73 93 108 124 146 186 219 279 292 372 438 558 657 837 876 1116 1314 1674 1733 1971 2263 2628 3348 3466 3942 4526 5199 6789 6932 7884 9052 10398 13578 15597 20367 20796 27156 31194 40734 46791 53723 61101 62388 81468 93582 107446 122202 126509 161169 187164 214892 244404 253018 322338 379527 483507 506036 644676 759054 967014 1138581 1450521 1518108 1934028 2277162 2901042 3415743 3921779 4554324 5802084 6831486 7843558 11765337 13662972 15687116 23530674 35296011 47061348 70592022 105888033 141184044 211776066 423552132