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42346460 = 22513271601
BaseRepresentation
bin1010000110001…
…0011111011100
32221200102102102
42201202133130
541320041320
64111344232
71022640032
oct241423734
987612372
1042346460
11219a3582
1212222078
138a088a0
1458a4552
153ab7175
hex28627dc

42346460 has 48 divisors (see below), whose sum is σ = 96281472. Its totient is φ = 15552000.

The previous prime is 42346457. The next prime is 42346471. The reversal of 42346460 is 6464324.

It is a happy number.

42346460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70160 + ... + 70760.

It is an arithmetic number, because the mean of its divisors is an integer number (2005864).

Almost surely, 242346460 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 42346460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48140736).

42346460 is an abundant number, since it is smaller than the sum of its proper divisors (53935012).

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

42346460 is a wasteful number, since it uses less digits than its factorization.

42346460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

The square root of 42346460 is about 6507.4157697200. The cubic root of 42346460 is about 348.5558453061. Note that the first 3 decimals are identical.

The spelling of 42346460 in words is "forty-two million, three hundred forty-six thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 271 542 601 1084 1202 1355 2404 2710 3005 3523 5420 6010 7046 7813 12020 14092 15626 17615 31252 35230 39065 70460 78130 156260 162871 325742 651484 814355 1628710 2117323 3257420 4234646 8469292 10586615 21173230 42346460