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4393055440 = 245434392909
BaseRepresentation
bin1000001011101100…
…01011010011010000
3102100011022100011001
410011312023103100
532444110233230
62003530231344
7213602232544
oct40566132320
912304270131
104393055440
111954846634
12a27285554
135501a10b7
142d962ba24
151aaa160ca
hex105d8b4d0

4393055440 has 80 divisors (see below), whose sum is σ = 10478793600. Its totient is φ = 1711858176.

The previous prime is 4393055437. The next prime is 4393055441. The reversal of 4393055440 is 445503934.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 4393055440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4393055441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1508706 + ... + 1511614.

It is an arithmetic number, because the mean of its divisors is an integer number (130984920).

Almost surely, 24393055440 is an apocalyptic number.

4393055440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4393055440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5239396800).

4393055440 is an abundant number, since it is smaller than the sum of its proper divisors (6085738160).

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

4393055440 is a wasteful number, since it uses less digits than its factorization.

4393055440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3404 (or 3398 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

The square root of 4393055440 is about 66280.1285454396. The cubic root of 4393055440 is about 1637.7799924460.

The spelling of 4393055440 in words is "four billion, three hundred ninety-three million, fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 439 688 860 878 1720 1756 2195 2909 3440 3512 4390 5818 7024 8780 11636 14545 17560 18877 23272 29090 35120 37754 46544 58180 75508 94385 116360 125087 151016 188770 232720 250174 302032 377540 500348 625435 755080 1000696 1250870 1277051 1510160 2001392 2501740 2554102 5003480 5108204 6385255 10006960 10216408 12770510 20432816 25541020 51082040 54913193 102164080 109826386 219652772 274565965 439305544 549131930 878611088 1098263860 2196527720 4393055440