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421727296 = 261721512
BaseRepresentation
bin11001001000110…
…000110001000000
31002101112222002111
4121020300301000
51330430233141
6105503025104
713310423434
oct3110606100
91071488074
10421727296
111a7065a61
12b929b194
13694aaca3
144001c9c4
1527056381
hex19230c40

421727296 has 63 divisors (see below), whose sum is σ = 894914517. Its totient is φ = 197145600.

The previous prime is 421727263. The next prime is 421727297. The reversal of 421727296 is 692727124.

The square root of 421727296 is 20536.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 328334400 + 93392896 = 18120^2 + 9664^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (421727297) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2792821 + ... + 2792971.

Almost surely, 2421727296 is an apocalyptic number.

421727296 is the 20536-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421727296

421727296 is an abundant number, since it is smaller than the sum of its proper divisors (473187221).

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

421727296 is an equidigital number, since it uses as much as digits as its factorization.

421727296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 170 counting only the distinct ones).

The product of its digits is 84672, while the sum is 40.

The cubic root of 421727296 is about 749.9124614868.

It can be divided in two parts, 4217 and 27296, that added together give a palindrome (31513).

The spelling of 421727296 in words is "four hundred twenty-one million, seven hundred twenty-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 151 272 289 302 544 578 604 1088 1156 1208 2312 2416 2567 4624 4832 5134 9248 9664 10268 18496 20536 22801 41072 43639 45602 82144 87278 91204 164288 174556 182408 349112 364816 387617 698224 729632 775234 1396448 1459264 1550468 2792896 3100936 6201872 6589489 12403744 13178978 24807488 26357956 52715912 105431824 210863648 421727296