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423972 = 223211777
BaseRepresentation
bin1100111100000100100
3210112120200
41213200210
5102031342
613030500
73414033
oct1474044
9715520
10423972
1126a59a
12185430
1311ac93
14b071a
158594c
hex67824

423972 has 18 divisors (see below), whose sum is σ = 1071798. Its totient is φ = 141312.

The previous prime is 423961. The next prime is 423977. The reversal of 423972 is 279324.

423972 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 389376 + 34596 = 624^2 + 186^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is not an unprimeable number, because it can be changed into a prime (423977) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5853 + ... + 5924.

2423972 is an apocalyptic number.

It is an amenable number.

423972 is an abundant number, since it is smaller than the sum of its proper divisors (647826).

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

423972 is a wasteful number, since it uses less digits than its factorization.

423972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11787 (or 11782 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 423972 is about 651.1313231599. The cubic root of 423972 is about 75.1240613373.

The spelling of 423972 in words is "four hundred twenty-three thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 11777 23554 35331 47108 70662 105993 141324 211986 423972