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42293000 = 235342293
BaseRepresentation
bin1010000101010…
…1011100001000
32221120201002102
42201111130020
541311334000
64110252532
71022325131
oct241253410
987521072
1042293000
11219673a2
12121b7148
1389ba459
14588cc88
153aa63d5
hex2855708

42293000 has 32 divisors (see below), whose sum is σ = 98967960. Its totient is φ = 16916800.

The previous prime is 42292979. The next prime is 42293023. The reversal of 42293000 is 39224.

It can be written as a sum of positive squares in 4 ways, for example, as 7695076 + 34597924 = 2774^2 + 5882^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20147 + ... + 22146.

Almost surely, 242293000 is an apocalyptic number.

42293000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42293000 is an abundant number, since it is smaller than the sum of its proper divisors (56674960).

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

42293000 is a wasteful number, since it uses less digits than its factorization.

42293000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42314 (or 42300 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 42293000 is about 6503.3068511335. The cubic root of 42293000 is about 348.4091062212.

The spelling of 42293000 in words is "forty-two million, two hundred ninety-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 42293 84586 169172 211465 338344 422930 845860 1057325 1691720 2114650 4229300 5286625 8458600 10573250 21146500 42293000