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42189252 = 22374211193
BaseRepresentation
bin1010000011110…
…0000111000100
32221101102202220
42200330013010
541300024002
64104132340
71021413510
oct240740704
987342686
1042189252
11218a6456
12121670b0
138982171
145863140
153a857bc
hex283c1c4

42189252 has 48 divisors (see below), whose sum is σ = 112866432. Its totient is φ = 12015360.

The previous prime is 42189211. The next prime is 42189263. The reversal of 42189252 is 25298124.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34768 + ... + 35960.

It is an arithmetic number, because the mean of its divisors is an integer number (2351384).

Almost surely, 242189252 is an apocalyptic number.

42189252 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42189252 is an abundant number, since it is smaller than the sum of its proper divisors (70677180).

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

42189252 is a wasteful number, since it uses less digits than its factorization.

42189252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1626 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 42189252 is about 6495.3253960060. The cubic root of 42189252 is about 348.1239814549.

The spelling of 42189252 in words is "forty-two million, one hundred eighty-nine thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 421 842 1193 1263 1684 2386 2526 2947 3579 4772 5052 5894 7158 8351 8841 11788 14316 16702 17682 25053 33404 35364 50106 100212 502253 1004506 1506759 2009012 3013518 3515771 6027036 7031542 10547313 14063084 21094626 42189252