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42111972 = 22327223873
BaseRepresentation
bin1010000010100…
…1001111100100
32221020111202200
42200221033210
541240040342
64102334500
71020642300
oct240511744
987214680
1042111972
1121853391
121212a430
138955c36
145842d00
153a6c94c
hex28293e4

42111972 has 54 divisors (see below), whose sum is σ = 123834438. Its totient is φ = 12031488.

The previous prime is 42111947. The next prime is 42111983. The reversal of 42111972 is 27911124.

It can be written as a sum of positive squares in only one way, i.e., 28451556 + 13660416 = 5334^2 + 3696^2 .

It is a nude number because it is divisible by every one of its digits.

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 17 ways as a sum of consecutive naturals, for example, 10173 + ... + 13700.

Almost surely, 242111972 is an apocalyptic number.

42111972 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42111972 is an abundant number, since it is smaller than the sum of its proper divisors (81722466).

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

42111972 is a wasteful number, since it uses less digits than its factorization.

42111972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23897 (or 23885 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 42111972 is about 6489.3737756428. The cubic root of 42111972 is about 347.9112932840.

The spelling of 42111972 in words is "forty-two million, one hundred eleven thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 23873 47746 71619 95492 143238 167111 214857 286476 334222 429714 501333 668444 859428 1002666 1169777 1503999 2005332 2339554 3007998 3509331 4679108 6015996 7018662 10527993 14037324 21055986 42111972