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420635046 = 2313171492129
BaseRepresentation
bin11001000100100…
…110000110100110
31002022111110210210
4121010212012212
51330140310141
6105423400250
713265224146
oct3104460646
91068443723
10420635046
111a648a377
12b8a53086
13691b7aa0
143dc16926
1526ddc916
hex191261a6

420635046 has 64 divisors (see below), whose sum is σ = 966168000. Its totient is φ = 120938496.

The previous prime is 420635023. The next prime is 420635051. The reversal of 420635046 is 640536024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196510 + ... + 198638.

It is an arithmetic number, because the mean of its divisors is an integer number (15096375).

Almost surely, 2420635046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420635046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483084000).

420635046 is an abundant number, since it is smaller than the sum of its proper divisors (545532954).

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

420635046 is a wasteful number, since it uses less digits than its factorization.

420635046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2313.

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 420635046 is about 20509.3892156739. The cubic root of 420635046 is about 749.2644913830.

The spelling of 420635046 in words is "four hundred twenty million, six hundred thirty-five thousand, forty-six".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 149 221 298 442 447 663 894 1326 1937 2129 2533 3874 4258 5066 5811 6387 7599 11622 12774 15198 27677 32929 36193 55354 65858 72386 83031 98787 108579 166062 197574 217158 317221 470509 634442 941018 951663 1411527 1903326 2823054 4123873 5392757 8247746 10785514 12371619 16178271 24743238 32356542 70105841 140211682 210317523 420635046