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42815216 = 2431372333
BaseRepresentation
bin1010001101010…
…0111011110000
32222120020102202
42203110323300
541430041331
64125402332
71026631463
oct243247360
988506382
1042815216
1122193784
12124093a8
138b41062
1459872da
153b5aecb
hex28d4ef0

42815216 has 40 divisors (see below), whose sum is σ = 87982464. Its totient is φ = 20148480.

The previous prime is 42815209. The next prime is 42815219. The reversal of 42815216 is 61251824.

42815216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×428152162 = 3666285442253312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42815219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17186 + ... + 19518.

Almost surely, 242815216 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 42815216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43991232).

42815216 is an abundant number, since it is smaller than the sum of its proper divisors (45167248).

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

42815216 is a wasteful number, since it uses less digits than its factorization.

42815216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2409 (or 2403 counting only the distinct ones).

The product of its digits is 3840, while the sum is 29.

The square root of 42815216 is about 6543.3337069112. Note that the first 3 decimals coincide. The cubic root of 42815216 is about 349.8372467790.

The spelling of 42815216 in words is "forty-two million, eight hundred fifteen thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 31 37 62 74 124 148 248 296 496 592 1147 2294 2333 4588 4666 9176 9332 18352 18664 37328 72323 86321 144646 172642 289292 345284 578584 690568 1157168 1381136 2675951 5351902 10703804 21407608 42815216