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42215856 = 2432338239
BaseRepresentation
bin1010000100001…
…0100110110000
32221102210021020
42201002212300
541301401411
64104455440
71021554204
oct241024660
987383236
1042215856
1121914441
121217a580
1389912c7
14586cb04
153a8d606
hex28429b0

42215856 has 40 divisors (see below), whose sum is σ = 113802240. Its totient is φ = 13459776.

The previous prime is 42215837. The next prime is 42215861. The reversal of 42215856 is 65851224.

It is a super-3 number, since 3×422158563 (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18016 + ... + 20223.

It is an arithmetic number, because the mean of its divisors is an integer number (2845056).

Almost surely, 242215856 is an apocalyptic number.

42215856 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

42215856 is an abundant number, since it is smaller than the sum of its proper divisors (71586384).

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

42215856 is a wasteful number, since it uses less digits than its factorization.

42215856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38273 (or 38267 counting only the distinct ones).

The product of its digits is 19200, while the sum is 33.

The square root of 42215856 is about 6497.3730076085. The cubic root of 42215856 is about 348.1971402487.

It can be divided in two parts, 42215 and 856, that added together give a triangular number (43071 = T293).

The spelling of 42215856 in words is "forty-two million, two hundred fifteen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 38239 76478 114717 152956 229434 305912 458868 611824 879497 917736 1758994 1835472 2638491 3517988 5276982 7035976 10553964 14071952 21107928 42215856