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42079000 = 2353291451
BaseRepresentation
bin1010000010000…
…1001100011000
32221011211112111
42200201030120
541233012000
64101522104
71020444205
oct240411430
987154474
1042079000
1121830637
1212113334
138943c22
145834cac
153a62cba
hex2821318

42079000 has 64 divisors (see below), whose sum is σ = 101930400. Its totient is φ = 16240000.

The previous prime is 42078989. The next prime is 42079013. The reversal of 42079000 is 97024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28275 + ... + 29725.

Almost surely, 242079000 is an apocalyptic number.

42079000 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 42079000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50965200).

42079000 is an abundant number, since it is smaller than the sum of its proper divisors (59851400).

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

42079000 is a wasteful number, since it uses less digits than its factorization.

42079000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 42079000 is about 6486.8328173308. The cubic root of 42079000 is about 347.8204693386.

The spelling of 42079000 in words is "forty-two million, seventy-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 725 1000 1160 1450 1451 2900 2902 3625 5800 5804 7250 7255 11608 14500 14510 29000 29020 36275 42079 58040 72550 84158 145100 168316 181375 210395 290200 336632 362750 420790 725500 841580 1051975 1451000 1683160 2103950 4207900 5259875 8415800 10519750 21039500 42079000