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42856416 = 2532672221
BaseRepresentation
bin1010001101111…
…0111111100000
32222122022221200
42203132333200
541432401131
64130321200
71030162551
oct243367740
988568850
1042856416
1122211729
1212429200
138b56a35
145998328
153b682e6
hex28defe0

42856416 has 72 divisors (see below), whose sum is σ = 123747624. Its totient is φ = 14065920.

The previous prime is 42856409. The next prime is 42856417. The reversal of 42856416 is 61465824.

42856416 is a `hidden beast` number, since 4 + 2 + 8 + 5 + 641 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (46080) is a multiple of the sum of its prime factors (2304).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42856417) 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, 18186 + ... + 20406.

It is an arithmetic number, because the mean of its divisors is an integer number (1718717).

Almost surely, 242856416 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 42856416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61873812).

42856416 is an abundant number, since it is smaller than the sum of its proper divisors (80891208).

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

42856416 is a wasteful number, since it uses less digits than its factorization.

42856416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2304 (or 2293 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 42856416 is about 6546.4811922131. The cubic root of 42856416 is about 349.9494239845.

It can be divided in two parts, 4285 and 6416, that added together give a palindrome (10701).

The spelling of 42856416 in words is "forty-two million, eight hundred fifty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 67 72 96 134 144 201 268 288 402 536 603 804 1072 1206 1608 2144 2221 2412 3216 4442 4824 6432 6663 8884 9648 13326 17768 19296 19989 26652 35536 39978 53304 71072 79956 106608 148807 159912 213216 297614 319824 446421 595228 639648 892842 1190456 1339263 1785684 2380912 2678526 3571368 4761824 5357052 7142736 10714104 14285472 21428208 42856416