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42107490 = 2325676983
BaseRepresentation
bin1010000010100…
…0001001100010
32221020021121200
42200220021202
541234414430
64102302030
71020623235
oct240501142
987207550
1042107490
112184aa87
1212127916
138953b99
14584141c
153a6b460
hex2828262

42107490 has 48 divisors (see below), whose sum is σ = 111129408. Its totient is φ = 11059488.

The previous prime is 42107489. The next prime is 42107491. The reversal of 42107490 is 9470124.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42107489) and next prime (42107491).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42107491) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2539 + ... + 9521.

It is an arithmetic number, because the mean of its divisors is an integer number (2315196).

Almost surely, 242107490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42107490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55564704).

42107490 is an abundant number, since it is smaller than the sum of its proper divisors (69021918).

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

42107490 is a wasteful number, since it uses less digits than its factorization.

42107490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7063 (or 7060 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 42107490 is about 6489.0284326700. The cubic root of 42107490 is about 347.8989500502.

The spelling of 42107490 in words is "forty-two million, one hundred seven thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 67 90 134 201 335 402 603 670 1005 1206 2010 3015 6030 6983 13966 20949 34915 41898 62847 69830 104745 125694 209490 314235 467861 628470 935722 1403583 2339305 2807166 4210749 4678610 7017915 8421498 14035830 21053745 42107490