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423544032 = 25333713249
BaseRepresentation
bin11001001111101…
…100010011100000
31002111222021012000
4121033230103200
51331411402112
6110010004000
713332031152
oct3117542340
91074867160
10423544032
111a809699a
12b9a16600
1369995b92
1440372ad2
15272b47dc
hex193ec4e0

423544032 has 96 divisors (see below), whose sum is σ = 1268820000. Its totient is φ = 137355264.

The previous prime is 423544027. The next prime is 423544049. The reversal of 423544032 is 230445324.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 423543987 and 423544005.

It is a congruent number.

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, 25344 + ... + 38592.

It is an arithmetic number, because the mean of its divisors is an integer number (13216875).

Almost surely, 2423544032 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 423544032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634410000).

423544032 is an abundant number, since it is smaller than the sum of its proper divisors (845275968).

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

423544032 is a wasteful number, since it uses less digits than its factorization.

423544032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13305 (or 13291 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 423544032 is about 20580.1854219052. The cubic root of 423544032 is about 750.9877545502.

Adding to 423544032 its reverse (230445324), we get a palindrome (653989356).

The spelling of 423544032 in words is "four hundred twenty-three million, five hundred forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 72 74 96 108 111 144 148 216 222 288 296 333 432 444 592 666 864 888 999 1184 1332 1776 1998 2664 3552 3996 5328 7992 10656 13249 15984 26498 31968 39747 52996 79494 105992 119241 158988 211984 238482 317976 357723 423968 476964 490213 635952 715446 953928 980426 1271904 1430892 1470639 1907856 1960852 2861784 2941278 3815712 3921704 4411917 5723568 5882556 7843408 8823834 11447136 11765112 13235751 15686816 17647668 23530224 26471502 35295336 47060448 52943004 70590672 105886008 141181344 211772016 423544032