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42497000 = 2353713467
BaseRepresentation
bin1010001000011…
…1001111101000
32221222001220222
42202013033220
541334401000
64114505212
71024134650
oct242071750
987861828
1042497000
1121a96697
1212295208
138a5c270
145903360
153ae6a85
hex28873e8

42497000 has 128 divisors (see below), whose sum is σ = 122653440. Its totient is φ = 13420800.

The previous prime is 42496999. The next prime is 42497069. The reversal of 42497000 is 79424.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90767 + ... + 91233.

It is an arithmetic number, because the mean of its divisors is an integer number (958230).

Almost surely, 242497000 is an apocalyptic number.

42497000 is a gapful number since it is divisible by the number (40) 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 42497000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61326720).

42497000 is an abundant number, since it is smaller than the sum of its proper divisors (80156440).

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

42497000 is a wasteful number, since it uses less digits than its factorization.

42497000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 42497000 is about 6518.9723116454. The cubic root of 42497000 is about 348.9683909381.

The spelling of 42497000 in words is "forty-two million, four hundred ninety-seven thousand".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 125 130 140 175 182 200 250 260 280 325 350 364 455 467 500 520 650 700 728 875 910 934 1000 1300 1400 1625 1750 1820 1868 2275 2335 2600 3250 3269 3500 3640 3736 4550 4670 6071 6500 6538 7000 9100 9340 11375 11675 12142 13000 13076 16345 18200 18680 22750 23350 24284 26152 30355 32690 42497 45500 46700 48568 58375 60710 65380 81725 84994 91000 93400 116750 121420 130760 151775 163450 169988 212485 233500 242840 303550 326900 339976 408625 424970 467000 607100 653800 758875 817250 849940 1062425 1214200 1517750 1634500 1699880 2124850 3035500 3269000 4249700 5312125 6071000 8499400 10624250 21248500 42497000