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32438052 = 22324121977
BaseRepresentation
bin111101110111…
…1011100100100
32021001000122100
41323233130210
531301004202
63115132100
7542501403
oct173573444
967030570
1032438052
1117346209
12aa44030
13694991a
14444563a
152cab41c
hex1eef724

32438052 has 36 divisors (see below), whose sum is σ = 83999916. Its totient is φ = 10548480.

The previous prime is 32438051. The next prime is 32438071. The reversal of 32438052 is 25083423.

It can be written as a sum of positive squares in 2 ways, for example, as 7096896 + 25341156 = 2664^2 + 5034^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (32438051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9513 + ... + 12464.

It is an arithmetic number, because the mean of its divisors is an integer number (2333331).

Almost surely, 232438052 is an apocalyptic number.

It is an amenable number.

32438052 is an abundant number, since it is smaller than the sum of its proper divisors (51561864).

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

32438052 is a wasteful number, since it uses less digits than its factorization.

32438052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22028 (or 22023 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 32438052 is about 5695.4413349626. The cubic root of 32438052 is about 318.9223252737.

The spelling of 32438052 in words is "thirty-two million, four hundred thirty-eight thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 21977 43954 65931 87908 131862 197793 263724 395586 791172 901057 1802114 2703171 3604228 5406342 8109513 10812684 16219026 32438052