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421889688 = 233311374799
BaseRepresentation
bin11001001001011…
…000011010011000
31002101212012212000
4121021120122120
51331000432223
6105510321000
713312001043
oct3111303230
91071765760
10421889688
111a7166a70
12b9359160
1369536b8c
1440061c5a
1527089543
hex19258698

421889688 has 128 divisors (see below), whose sum is σ = 1313280000. Its totient is φ = 124364160.

The previous prime is 421889639. The next prime is 421889711. The reversal of 421889688 is 886988124.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85513 + ... + 90311.

It is an arithmetic number, because the mean of its divisors is an integer number (10260000).

Almost surely, 2421889688 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 421889688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656640000).

421889688 is an abundant number, since it is smaller than the sum of its proper divisors (891390312).

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

421889688 is a wasteful number, since it uses less digits than its factorization.

421889688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4862 (or 4852 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 54.

The square root of 421889688 is about 20539.9534566172. The cubic root of 421889688 is about 750.0087038990.

The spelling of 421889688 in words is "four hundred twenty-one million, eight hundred eighty-nine thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 37 44 54 66 72 74 88 99 108 111 132 148 198 216 222 264 296 297 333 396 407 444 594 666 792 814 888 999 1188 1221 1332 1628 1998 2376 2442 2664 3256 3663 3996 4799 4884 7326 7992 9598 9768 10989 14397 14652 19196 21978 28794 29304 38392 43191 43956 52789 57588 86382 87912 105578 115176 129573 158367 172764 177563 211156 259146 316734 345528 355126 422312 475101 518292 532689 633468 710252 950202 1036584 1065378 1266936 1420504 1425303 1598067 1900404 1953193 2130756 2850606 3196134 3800808 3906386 4261512 4794201 5701212 5859579 6392268 7812772 9588402 11402424 11719158 12784536 15625544 17578737 19176804 23438316 35157474 38353608 46876632 52736211 70314948 105472422 140629896 210944844 421889688