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420563472 = 243721631097
BaseRepresentation
bin11001000100010…
…100101000010000
31002022100211121220
4121010110220100
51330131012342
6105422045040
713264505400
oct3104245020
91068324556
10420563472
111a644061a
12b8a19780
1369191334
143dbd8800
1526dc65ec
hex19114a10

420563472 has 120 divisors (see below), whose sum is σ = 1272748896. Its totient is φ = 119314944.

The previous prime is 420563467. The next prime is 420563501. The reversal of 420563472 is 274365024.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 382828 + ... + 383924.

Almost surely, 2420563472 is an apocalyptic number.

420563472 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420563472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636374448).

420563472 is an abundant number, since it is smaller than the sum of its proper divisors (852185424).

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

420563472 is a wasteful number, since it uses less digits than its factorization.

420563472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 420563472 is about 20507.6442333097. The cubic root of 420563472 is about 749.2219914382.

The spelling of 420563472 in words is "four hundred twenty million, five hundred sixty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 163 168 196 294 326 336 392 489 588 652 784 978 1097 1141 1176 1304 1956 2194 2282 2352 2608 3291 3423 3912 4388 4564 6582 6846 7679 7824 7987 8776 9128 13164 13692 15358 15974 17552 18256 23037 23961 26328 27384 30716 31948 46074 47922 52656 53753 54768 61432 63896 92148 95844 107506 122864 127792 161259 178811 184296 191688 215012 322518 357622 368592 383376 430024 536433 645036 715244 860048 1072866 1251677 1290072 1430488 2145732 2503354 2580144 2860976 3755031 4291464 5006708 7510062 8582928 8761739 10013416 15020124 17523478 20026832 26285217 30040248 35046956 52570434 60080496 70093912 105140868 140187824 210281736 420563472