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4172028840 = 2332577322679
BaseRepresentation
bin1111100010101100…
…0001101110101000
3101202202102000122200
43320223001232220
532021014410330
61525553020200
7205246442250
oct37053015650
911682360580
104172028840
111851002021
12985254660
13516464325
142b8134960
15196406a60
hexf8ac1ba8

4172028840 has 192 divisors, whose sum is σ = 15709075200. Its totient is φ = 940502016.

The previous prime is 4172028793. The next prime is 4172028863. The reversal of 4172028840 is 488202714.

4172028840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 4172028795 and 4172028804.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172621 + ... + 195299.

It is an arithmetic number, because the mean of its divisors is an integer number (81818100).

Almost surely, 24172028840 is an apocalyptic number.

4172028840 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 4172028840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7854537600).

4172028840 is an abundant number, since it is smaller than the sum of its proper divisors (11537046360).

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

4172028840 is a wasteful number, since it uses less digits than its factorization.

4172028840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22776 (or 22769 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 4172028840 is about 64591.2442982793. The cubic root of 4172028840 is about 1609.8389612985.

The spelling of 4172028840 in words is "four billion, one hundred seventy-two million, twenty-eight thousand, eight hundred forty".