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42978180 = 22357102329
BaseRepresentation
bin1010001111110…
…0101110000100
32222212111222110
42203330232010
542000300210
64133101020
71031210550
oct243745604
988774873
1042978180
1122295163
1212487770
138b9a29b
1459ca860
153b8e420
hex28fcb84

42978180 has 48 divisors (see below), whose sum is σ = 137531520. Its totient is φ = 9823488.

The previous prime is 42978167. The next prime is 42978181. The reversal of 42978180 is 8187924.

42978180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×429781802 = 3694247912224800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42978181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50745 + ... + 51584.

It is an arithmetic number, because the mean of its divisors is an integer number (2865240).

Almost surely, 242978180 is an apocalyptic number.

It is an amenable number.

42978180 is an abundant number, since it is smaller than the sum of its proper divisors (94553340).

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

42978180 is a wasteful number, since it uses less digits than its factorization.

42978180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102348 (or 102346 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 42978180 is about 6555.7745537808. The cubic root of 42978180 is about 350.2805369847.

The spelling of 42978180 in words is "forty-two million, nine hundred seventy-eight thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 102329 204658 306987 409316 511645 613974 716303 1023290 1227948 1432606 1534935 2046580 2148909 2865212 3069870 3581515 4297818 6139740 7163030 8595636 10744545 14326060 21489090 42978180