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420479226 = 23231753547
BaseRepresentation
bin11001000100000…
…000000011111010
31002022012120001200
4121010000003322
51330120313401
6105420155030
713264004646
oct3104000372
91068176050
10420479226
111a63932a2
12b8998a76
1369161b9b
143dbb5c26
1526dab686
hex191000fa

420479226 has 24 divisors (see below), whose sum is σ = 940427904. Its totient is φ = 135638280.

The previous prime is 420479179. The next prime is 420479237. The reversal of 420479226 is 622974024.

420479226 is a `hidden beast` number, since 420 + 4 + 7 + 9 + 226 = 666.

It is a super-3 number, since 3×4204792263 (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 376216 + ... + 377331.

It is an arithmetic number, because the mean of its divisors is an integer number (39184496).

Almost surely, 2420479226 is an apocalyptic number.

420479226 is an abundant number, since it is smaller than the sum of its proper divisors (519948678).

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

420479226 is a wasteful number, since it uses less digits than its factorization.

420479226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753586 (or 753583 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 420479226 is about 20505.5901158684. The cubic root of 420479226 is about 749.1719608046.

The spelling of 420479226 in words is "four hundred twenty million, four hundred seventy-nine thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 753547 1507094 2260641 4521282 6781923 13563846 23359957 46719914 70079871 140159742 210239613 420479226