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4472369040 = 243540146471
BaseRepresentation
bin1000010101001001…
…01110111110010000
3102112200112212221210
410022210232332100
533124411302130
62015442220120
7215554336536
oct41244567620
912480485853
104472369040
111995599067
12a49954640
13563750c19
14305d96156
151b29815b0
hex10a92ef90

4472369040 has 80 divisors (see below), whose sum is σ = 13899217536. Its totient is φ = 1189632000.

The previous prime is 4472369029. The next prime is 4472369053. The reversal of 4472369040 is 409632744.

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 4472369040.

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, 73005 + ... + 119475.

Almost surely, 24472369040 is an apocalyptic number.

4472369040 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 4472369040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6949608768).

4472369040 is an abundant number, since it is smaller than the sum of its proper divisors (9426848496).

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

4472369040 is a wasteful number, since it uses less digits than its factorization.

4472369040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46888 (or 46882 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 4472369040 is about 66875.7731917920. The cubic root of 4472369040 is about 1647.5775950276.

The spelling of 4472369040 in words is "four billion, four hundred seventy-two million, three hundred sixty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 401 802 1203 1604 2005 2406 3208 4010 4812 6015 6416 8020 9624 12030 16040 19248 24060 32080 46471 48120 92942 96240 139413 185884 232355 278826 371768 464710 557652 697065 743536 929420 1115304 1394130 1858840 2230608 2788260 3717680 5576520 11153040 18634871 37269742 55904613 74539484 93174355 111809226 149078968 186348710 223618452 279523065 298157936 372697420 447236904 559046130 745394840 894473808 1118092260 1490789680 2236184520 4472369040