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421826688 = 2732366169
BaseRepresentation
bin11001001001001…
…001000010000000
31002101202000102200
4121021021002000
51330441423223
6105505113200
713311316263
oct3111110200
91071660380
10421826688
111a71236a8
12b9328800
13695142ba
1440046cda
1527075a43
hex19249080

421826688 has 48 divisors (see below), whose sum is σ = 1213853550. Its totient is φ = 140608512.

The previous prime is 421826687. The next prime is 421826719. The reversal of 421826688 is 886628124.

It can be written as a sum of positive squares in only one way, i.e., 219276864 + 202549824 = 14808^2 + 14232^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (421826687) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 181933 + ... + 184236.

Almost surely, 2421826688 is an apocalyptic number.

421826688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

421826688 is an abundant number, since it is smaller than the sum of its proper divisors (792026862).

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

421826688 is a wasteful number, since it uses less digits than its factorization.

421826688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366189 (or 366174 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 421826688 is about 20538.4198028962. The cubic root of 421826688 is about 749.9713695737.

The spelling of 421826688 in words is "four hundred twenty-one million, eight hundred twenty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 366169 732338 1098507 1464676 2197014 2929352 3295521 4394028 5858704 6591042 8788056 11717408 13182084 17576112 23434816 26364168 35152224 46869632 52728336 70304448 105456672 140608896 210913344 421826688