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42058240 = 29572347
BaseRepresentation
bin1010000001110…
…0001000000000
32221010210001121
42200130020000
541231330430
64101242024
71020326530
oct240341000
987123047
1042058240
1121816a84
1212103314
138937643
14582b4c0
153a5ba7a
hex281c200

42058240 has 80 divisors (see below), whose sum is σ = 115296192. Its totient is φ = 14413824.

The previous prime is 42058201. The next prime is 42058241. The reversal of 42058240 is 4285024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (42058241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16747 + ... + 19093.

Almost surely, 242058240 is an apocalyptic number.

42058240 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 42058240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57648096).

42058240 is an abundant number, since it is smaller than the sum of its proper divisors (73237952).

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

42058240 is an equidigital number, since it uses as much as digits as its factorization.

42058240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2377 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 42058240 is about 6485.2324553558. The cubic root of 42058240 is about 347.7632599567.

The spelling of 42058240 in words is "forty-two million, fifty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1120 1280 1792 2240 2347 2560 3584 4480 4694 8960 9388 11735 16429 17920 18776 23470 32858 37552 46940 65716 75104 82145 93880 131432 150208 164290 187760 262864 300416 328580 375520 525728 600832 657160 751040 1051456 1201664 1314320 1502080 2102912 2628640 3004160 4205824 5257280 6008320 8411648 10514560 21029120 42058240