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42091392 = 273722237
BaseRepresentation
bin1010000010010…
…0001110000000
32221012110112110
42200210032000
541233411032
64102055320
71020525300
oct240441600
987173473
1042091392
1121839982
121211a540
138949765
145839600
153a667cc
hex2824380

42091392 has 96 divisors (see below), whose sum is σ = 130117320. Its totient is φ = 12020736.

The previous prime is 42091391. The next prime is 42091409. The reversal of 42091392 is 29319024.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42091391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17698 + ... + 19934.

Almost surely, 242091392 is an apocalyptic number.

42091392 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42091392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65058660).

42091392 is an abundant number, since it is smaller than the sum of its proper divisors (88025928).

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

42091392 is a wasteful number, since it uses less digits than its factorization.

42091392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2268 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 42091392 is about 6487.7879126864. The cubic root of 42091392 is about 347.8546096320.

The spelling of 42091392 in words is "forty-two million, ninety-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 384 392 448 588 672 784 896 1176 1344 1568 2237 2352 2688 3136 4474 4704 6272 6711 8948 9408 13422 15659 17896 18816 26844 31318 35792 46977 53688 62636 71584 93954 107376 109613 125272 143168 187908 214752 219226 250544 286336 328839 375816 429504 438452 501088 657678 751632 859008 876904 1002176 1315356 1503264 1753808 2004352 2630712 3006528 3507616 5261424 6013056 7015232 10522848 14030464 21045696 42091392