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420950908 = 227432111657
BaseRepresentation
bin11001000101110…
…011001101111100
31002100002112002101
4121011303031330
51330230412113
6105434234444
713301011060
oct3105631574
91070075071
10420950908
111a6685714
12b8b85a24
13692987a1
143dc99aa0
1526e512dd
hex1917337c

420950908 has 48 divisors (see below), whose sum is σ = 866086144. Its totient is φ = 175271040.

The previous prime is 420950861. The next prime is 420950917. The reversal of 420950908 is 809059024.

It is a super-3 number, since 3×4209509083 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253216 + ... + 254872.

Almost surely, 2420950908 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 420950908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433043072).

420950908 is an abundant number, since it is smaller than the sum of its proper divisors (445135236).

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

420950908 is a wasteful number, since it uses less digits than its factorization.

420950908 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1922 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 420950908 is about 20517.0881949657. The cubic root of 420950908 is about 749.4519896029.

The spelling of 420950908 in words is "four hundred twenty million, nine hundred fifty thousand, nine hundred eight".

Divisors: 1 2 4 7 14 28 43 86 172 211 301 422 602 844 1204 1477 1657 2954 3314 5908 6628 9073 11599 18146 23198 36292 46396 63511 71251 127022 142502 254044 285004 349627 498757 699254 997514 1398508 1995028 2447389 4894778 9789556 15033961 30067922 60135844 105237727 210475454 420950908