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42202256 = 244096449
BaseRepresentation
bin1010000011111…
…1010010010000
32221102002121112
42200333102100
541300433011
64104312452
71021466435
oct240772220
987362545
1042202256
11219051a8
1212172728
138988065
145867b8c
153a8958b
hex283f490

42202256 has 20 divisors (see below), whose sum is σ = 81979500. Its totient is φ = 21046272.

The previous prime is 42202247. The next prime is 42202261. The reversal of 42202256 is 65220224.

It can be written as a sum of positive squares in 2 ways, for example, as 39891856 + 2310400 = 6316^2 + 1520^2 .

It is a super-2 number, since 2×422022562 = 3562060822979072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3320 + ... + 9768.

It is an arithmetic number, because the mean of its divisors is an integer number (4098975).

Almost surely, 242202256 is an apocalyptic number.

It is an amenable number.

42202256 is a deficient number, since it is larger than the sum of its proper divisors (39777244).

42202256 is a wasteful number, since it uses less digits than its factorization.

42202256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6866 (or 6860 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 42202256 is about 6496.3263464823. The cubic root of 42202256 is about 348.1597452178.

It can be divided in two parts, 4 and 2202256, that multiplied together give a square (8809024 = 29682).

The spelling of 42202256 in words is "forty-two million, two hundred two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 409 818 1636 3272 6449 6544 12898 25796 51592 103184 2637641 5275282 10550564 21101128 42202256