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42211206 = 234673889
BaseRepresentation
bin1010000100000…
…1011110000110
32221102112220000
42201001132012
541301224311
64104422130
71021534512
oct241013606
987375800
1042211206
11219109a4
1212177946
13898c15b
14586b142
153a8c056
hex2841786

42211206 has 40 divisors (see below), whose sum is σ = 96020760. Its totient is φ = 13856832.

The previous prime is 42211171. The next prime is 42211219. The reversal of 42211206 is 60211224.

It is a super-4 number, since 4×422112064 (a number of 32 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8910 + ... + 12798.

It is an arithmetic number, because the mean of its divisors is an integer number (2400519).

Almost surely, 242211206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42211206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48010380).

42211206 is an abundant number, since it is smaller than the sum of its proper divisors (53809554).

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

42211206 is a wasteful number, since it uses less digits than its factorization.

42211206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3970 (or 3961 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 42211206 is about 6497.0151608258. The cubic root of 42211206 is about 348.1843553514.

Adding to 42211206 its sum of digits (18), we get a palindrome (42211224).

It can be divided in two parts, 422 and 11206, that added together give a triangular number (11628 = T152).

The spelling of 42211206 in words is "forty-two million, two hundred eleven thousand, two hundred six".

Divisors: 1 2 3 6 9 18 27 54 67 81 134 162 201 402 603 1206 1809 3618 3889 5427 7778 10854 11667 23334 35001 70002 105003 210006 260563 315009 521126 630018 781689 1563378 2345067 4690134 7035201 14070402 21105603 42211206