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42123492 = 22321497853
BaseRepresentation
bin1010000010110…
…0000011100100
32221021002120100
42200230003210
541240422432
64102504100
71021021005
oct240540344
987232510
1042123492
1121861004
1212135030
13895b258
1458471ac
153a7107c
hex282c0e4

42123492 has 36 divisors (see below), whose sum is σ = 107207100. Its totient is φ = 13945152.

The previous prime is 42123481. The next prime is 42123493. The reversal of 42123492 is 29432124.

42123492 is a `hidden beast` number, since 421 + 234 + 9 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2509056 + 39614436 = 1584^2 + 6294^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42123493) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1438 + ... + 9290.

It is an arithmetic number, because the mean of its divisors is an integer number (2977975).

Almost surely, 242123492 is an apocalyptic number.

It is an amenable number.

42123492 is an abundant number, since it is smaller than the sum of its proper divisors (65083608).

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

42123492 is a wasteful number, since it uses less digits than its factorization.

42123492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8012 (or 8007 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 42123492 is about 6490.2613198545. The cubic root of 42123492 is about 347.9430148467.

The spelling of 42123492 in words is "forty-two million, one hundred twenty-three thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 149 298 447 596 894 1341 1788 2682 5364 7853 15706 23559 31412 47118 70677 94236 141354 282708 1170097 2340194 3510291 4680388 7020582 10530873 14041164 21061746 42123492