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42953216 = 29431951
BaseRepresentation
bin1010001111011…
…0101000000000
32222211020201212
42203312220000
541444000331
64132345252
71031045015
oct243665000
988736655
1042953216
1122278429
1212475228
138b8bb07
1459c170c
153b86d2b
hex28f6a00

42953216 has 40 divisors (see below), whose sum is σ = 87863424. Its totient is φ = 20966400.

The previous prime is 42953201. The next prime is 42953219. The reversal of 42953216 is 61235924.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (42953219) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21041 + ... + 22991.

Almost surely, 242953216 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 42953216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43931712).

42953216 is an abundant number, since it is smaller than the sum of its proper divisors (44910208).

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

42953216 is an equidigital number, since it uses as much as digits as its factorization.

42953216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2012 (or 1996 counting only the distinct ones).

The product of its digits is 12960, while the sum is 32.

The square root of 42953216 is about 6553.8703069255. The cubic root of 42953216 is about 350.2127033620.

The spelling of 42953216 in words is "forty-two million, nine hundred fifty-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 344 512 688 1376 1951 2752 3902 5504 7804 11008 15608 22016 31216 62432 83893 124864 167786 249728 335572 499456 671144 998912 1342288 2684576 5369152 10738304 21476608 42953216