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4404420936 = 2332293076871
BaseRepresentation
bin1000001101000011…
…00010000101001000
3102100221200202200100
410012201202011020
533010012432221
62005014005400
7214100650236
oct40641420510
912327622610
104404420936
1119601a9703
12a2b046860
13552650346
142dad49956
151aba0d926
hex106862148

4404420936 has 96 divisors (see below), whose sum is σ = 12381969600. Its totient is φ = 1412691840.

The previous prime is 4404420931. The next prime is 4404420959. The reversal of 4404420936 is 6390244044.

4404420936 is a `hidden beast` number, since 440 + 4 + 4 + 209 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4404420936.

It is not an unprimeable number, because it can be changed into a prime (4404420931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 637581 + ... + 644451.

It is an arithmetic number, because the mean of its divisors is an integer number (128978850).

Almost surely, 24404420936 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 4404420936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6190984800).

4404420936 is an abundant number, since it is smaller than the sum of its proper divisors (7977548664).

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

4404420936 is a wasteful number, since it uses less digits than its factorization.

4404420936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7219 (or 7212 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 4404420936 is about 66365.8114995967. The cubic root of 4404420936 is about 1639.1911706624.

It can be divided in two parts, 44044 and 20936, that added together give a triangular number (64980 = T360).

The spelling of 4404420936 in words is "four billion, four hundred four million, four hundred twenty thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 307 348 522 614 696 921 1044 1228 1842 2088 2456 2763 3684 5526 6871 7368 8903 11052 13742 17806 20613 22104 26709 27484 35612 41226 53418 54968 61839 71224 80127 82452 106836 123678 160254 164904 199259 213672 247356 320508 398518 494712 597777 641016 797036 1195554 1594072 1793331 2109397 2391108 3586662 4218794 4782216 6328191 7173324 8437588 12656382 14346648 16875176 18984573 25312764 37969146 50625528 61172513 75938292 122345026 151876584 183517539 244690052 367035078 489380104 550552617 734070156 1101105234 1468140312 2202210468 4404420936