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42160032 = 2532146389
BaseRepresentation
bin1010000011010…
…0111110100000
32221022221200200
42200310332200
541243110112
64103345200
71021232355
oct240647640
987287620
1042160032
1121886502
1212152200
138971a85
14585662c
153a7bcdc
hex2834fa0

42160032 has 36 divisors (see below), whose sum is σ = 119893410. Its totient is φ = 14053248.

The previous prime is 42160007. The next prime is 42160067. The reversal of 42160032 is 23006124.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 34999056 + 7160976 = 5916^2 + 2676^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42159987 and 42160014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72907 + ... + 73482.

Almost surely, 242160032 is an apocalyptic number.

It is an amenable number.

42160032 is an abundant number, since it is smaller than the sum of its proper divisors (77733378).

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

42160032 is a wasteful number, since it uses less digits than its factorization.

42160032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146405 (or 146394 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 42160032 is about 6493.0756964631. The cubic root of 42160032 is about 348.0435934291.

Adding to 42160032 its reverse (23006124), we get a palindrome (65166156).

The spelling of 42160032 in words is "forty-two million, one hundred sixty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 146389 292778 439167 585556 878334 1171112 1317501 1756668 2342224 2635002 3513336 4684448 5270004 7026672 10540008 14053344 21080016 42160032