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42406312 = 2313715743
BaseRepresentation
bin1010000111000…
…1000110101000
32221210110112011
42201301012220
541324000222
64112525304
71023306364
oct241610650
987713464
1042406312
1121a34543
1212250834
138a29bc0
1458bc2a4
153ac9c77
hex28711a8

42406312 has 32 divisors (see below), whose sum is σ = 86849280. Its totient is φ = 19293120.

The previous prime is 42406297. The next prime is 42406327. The reversal of 42406312 is 21360424.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42406297) and next prime (42406327).

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, 4513 + ... + 10255.

It is an arithmetic number, because the mean of its divisors is an integer number (2714040).

Almost surely, 242406312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42406312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43424640).

42406312 is an abundant number, since it is smaller than the sum of its proper divisors (44442968).

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

42406312 is a wasteful number, since it uses less digits than its factorization.

42406312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5833 (or 5829 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 42406312 is about 6512.0128992501. The cubic root of 42406312 is about 348.7199829425.

Adding to 42406312 its reverse (21360424), we get a palindrome (63766736).

The spelling of 42406312 in words is "forty-two million, four hundred six thousand, three hundred twelve".

Divisors: 1 2 4 8 13 26 52 71 104 142 284 568 923 1846 3692 5743 7384 11486 22972 45944 74659 149318 298636 407753 597272 815506 1631012 3262024 5300789 10601578 21203156 42406312