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4421400032 = 257233492459
BaseRepresentation
bin1000001111000100…
…10011010111100000
3102102010122101121202
410013202103113200
533023334300112
62010421540332
7214365165050
oct40742232740
912363571552
104421400032
111969846315
12a348746a8
1355601674a
142dd2c9560
151ad2646c2
hex1078935e0

4421400032 has 96 divisors (see below), whose sum is σ = 10414656000. Its totient is φ = 1806571008.

The previous prime is 4421400029. The next prime is 4421400047. The reversal of 4421400032 is 2300041244.

It is a junction number, because it is equal to n+sod(n) for n = 4421399977 and 4421400013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1796819 + ... + 1799277.

It is an arithmetic number, because the mean of its divisors is an integer number (108486000).

Almost surely, 24421400032 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 4421400032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5207328000).

4421400032 is an abundant number, since it is smaller than the sum of its proper divisors (5993255968).

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

4421400032 is a wasteful number, since it uses less digits than its factorization.

4421400032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2848 (or 2840 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4421400032 is about 66493.6089560493. The cubic root of 4421400032 is about 1641.2948370195.

Adding to 4421400032 its reverse (2300041244), we get a palindrome (6721441276).

The spelling of 4421400032 in words is "four billion, four hundred twenty-one million, four hundred thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 349 368 644 698 736 1288 1396 2443 2459 2576 2792 4886 4918 5152 5584 8027 9772 9836 11168 16054 17213 19544 19672 32108 34426 39088 39344 56189 56557 64216 68852 78176 78688 112378 113114 128432 137704 224756 226228 256864 275408 395899 449512 452456 550816 791798 858191 899024 904912 1583596 1716382 1798048 1809824 3167192 3432764 6007337 6334384 6865528 12014674 12668768 13731056 19738393 24029348 27462112 39476786 48058696 78953572 96117392 138168751 157907144 192234784 276337502 315814288 552675004 631628576 1105350008 2210700016 4421400032