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42972150 = 23521322037
BaseRepresentation
bin1010001111101…
…1001111110110
32222212012201010
42203323033312
542000102100
64133013050
71031154144
oct243731766
988765633
1042972150
1122290681
1212484186
138b97610
1459c8594
153b8c750
hex28fb3f6

42972150 has 48 divisors (see below), whose sum is σ = 114773904. Its totient is φ = 10577280.

The previous prime is 42972131. The next prime is 42972151. The reversal of 42972150 is 5127924.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42972151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9069 + ... + 12968.

It is an arithmetic number, because the mean of its divisors is an integer number (2391123).

Almost surely, 242972150 is an apocalyptic number.

42972150 is an abundant number, since it is smaller than the sum of its proper divisors (71801754).

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

42972150 is a wasteful number, since it uses less digits than its factorization.

42972150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22065 (or 22060 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 42972150 is about 6555.3146377577. The cubic root of 42972150 is about 350.2641543270.

The spelling of 42972150 in words is "forty-two million, nine hundred seventy-two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 195 325 390 650 975 1950 22037 44074 66111 110185 132222 220370 286481 330555 550925 572962 661110 859443 1101850 1432405 1652775 1718886 2864810 3305550 4297215 7162025 8594430 14324050 21486075 42972150