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42669216 = 2532148157
BaseRepresentation
bin1010001011000…
…1010010100000
32222021211011100
42202301102200
541410403331
64122314400
71025453022
oct242612240
988254140
1042669216
11220a4017
1212358a00
138abc775
14594a012
153b2cae6
hex28b14a0

42669216 has 36 divisors (see below), whose sum is σ = 121341402. Its totient is φ = 14222976.

The previous prime is 42669203. The next prime is 42669217. The reversal of 42669216 is 61296624.

It can be written as a sum of positive squares in only one way, i.e., 31136400 + 11532816 = 5580^2 + 3396^2 .

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 (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42669217) 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, 73791 + ... + 74366.

Almost surely, 242669216 is an apocalyptic number.

It is an amenable number.

42669216 is an abundant number, since it is smaller than the sum of its proper divisors (78672186).

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

42669216 is a wasteful number, since it uses less digits than its factorization.

42669216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148173 (or 148162 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 42669216 is about 6532.1677871898. The cubic root of 42669216 is about 349.4391452803.

The spelling of 42669216 in words is "forty-two million, six hundred sixty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 148157 296314 444471 592628 888942 1185256 1333413 1777884 2370512 2666826 3555768 4741024 5333652 7111536 10667304 14223072 21334608 42669216