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42098096 = 2423139823
BaseRepresentation
bin1010000010010…
…1110110110000
32221012210201202
42200211312300
541234114341
64102150332
71020553655
oct240456660
987183652
1042098096
1121843a17
12121223a8
13894c821
14583bc2c
153a6879b
hex2825db0

42098096 has 40 divisors (see below), whose sum is σ = 85827840. Its totient is φ = 19964736.

The previous prime is 42098083. The next prime is 42098099. The reversal of 42098096 is 69089024.

It is not an unprimeable number, because it can be changed into a prime (42098099) 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 7 ways as a sum of consecutive naturals, for example, 50741 + ... + 51563.

It is an arithmetic number, because the mean of its divisors is an integer number (2145696).

Almost surely, 242098096 is an apocalyptic number.

42098096 is a gapful number since it is divisible by the number (46) 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 42098096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42913920).

42098096 is an abundant number, since it is smaller than the sum of its proper divisors (43729744).

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

42098096 is a wasteful number, since it uses less digits than its factorization.

42098096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 42098096 is about 6488.3045551207. The cubic root of 42098096 is about 347.8730765393.

The spelling of 42098096 in words is "forty-two million, ninety-eight thousand, ninety-six".

Divisors: 1 2 4 8 16 23 46 92 139 184 278 368 556 823 1112 1646 2224 3197 3292 6394 6584 12788 13168 18929 25576 37858 51152 75716 114397 151432 228794 302864 457588 915176 1830352 2631131 5262262 10524524 21049048 42098096