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42154992 = 2434112957
BaseRepresentation
bin1010000011001…
…1101111110000
32221022200210000
42200303233300
541242424432
64103310000
71021211565
oct240635760
987280700
1042154992
1121882740
121214b300
13896c6a9
14585486c
153a7a57c
hex2833bf0

42154992 has 100 divisors (see below), whose sum is σ = 133145496. Its totient is φ = 12769920.

The previous prime is 42154991. The next prime is 42155027. The reversal of 42154992 is 29945124.

42154992 is a `hidden beast` number, since 4 + 21 + 549 + 92 = 666.

42154992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42154991) 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 19 ways as a sum of consecutive naturals, for example, 12778 + ... + 15734.

Almost surely, 242154992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42154992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66572748).

42154992 is an abundant number, since it is smaller than the sum of its proper divisors (90990504).

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

42154992 is a wasteful number, since it uses less digits than its factorization.

42154992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2988 (or 2973 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 42154992 is about 6492.6875791154. The cubic root of 42154992 is about 348.0297239771.

The spelling of 42154992 in words is "forty-two million, one hundred fifty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 264 297 324 396 432 528 594 648 792 891 1188 1296 1584 1782 2376 2957 3564 4752 5914 7128 8871 11828 14256 17742 23656 26613 32527 35484 47312 53226 65054 70968 79839 97581 106452 130108 141936 159678 195162 212904 239517 260216 292743 319356 390324 425808 479034 520432 585486 638712 780648 878229 958068 1170972 1277424 1561296 1756458 1916136 2341944 2634687 3512916 3832272 4683888 5269374 7025832 10538748 14051664 21077496 42154992