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42343992 = 2333434797
BaseRepresentation
bin1010000110000…
…1111000111000
32221200022001000
42201201320320
541320001432
64111325000
71022626605
oct241417070
987608030
1042343992
11219a1739
1212220760
138a07722
1458a36ac
153ab657c
hex2861e38

42343992 has 128 divisors (see below), whose sum is σ = 124185600. Its totient is φ = 13353984.

The previous prime is 42343981. The next prime is 42343997. The reversal of 42343992 is 29934324.

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

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

Its product of digits (46656) is a multiple of the sum of its prime divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42343997) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 436488 + ... + 436584.

It is an arithmetic number, because the mean of its divisors is an integer number (970200).

Almost surely, 242343992 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 42343992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62092800).

42343992 is an abundant number, since it is smaller than the sum of its proper divisors (81841608).

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

42343992 is a wasteful number, since it uses less digits than its factorization.

42343992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 192 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 42343992 is about 6507.2261371494. The cubic root of 42343992 is about 348.5490737638.

The spelling of 42343992 in words is "forty-two million, three hundred forty-three thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 47 54 72 86 94 97 108 129 141 172 188 194 216 258 282 291 344 376 387 388 423 516 564 582 774 776 846 873 1032 1128 1161 1164 1269 1548 1692 1746 2021 2322 2328 2538 2619 3096 3384 3492 4042 4171 4559 4644 5076 5238 6063 6984 8084 8342 9118 9288 10152 10476 12126 12513 13677 16168 16684 18189 18236 20952 24252 25026 27354 33368 36378 36472 37539 41031 48504 50052 54567 54708 72756 75078 82062 100104 109134 109416 112617 123093 145512 150156 164124 196037 218268 225234 246186 300312 328248 392074 436536 450468 492372 588111 784148 900936 984744 1176222 1568296 1764333 2352444 3528666 4704888 5292999 7057332 10585998 14114664 21171996 42343992