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4002725340 = 2232538358061
BaseRepresentation
bin1110111010010100…
…1011110111011100
3101022221211111220200
43232211023313130
531144144202330
61501104143500
7201122414115
oct35645136734
911287744820
104002725340
111774485879
12938607b90
134ba367043
1429d86320c
15186612a60
hexee94bddc

4002725340 has 72 divisors (see below), whose sum is σ = 12173511168. Its totient is φ = 1064588160.

The previous prime is 4002725339. The next prime is 4002725401. The reversal of 4002725340 is 435272004.

4002725340 is a `hidden beast` number, since 400 + 2 + 7 + 253 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39910 + ... + 97970.

It is an arithmetic number, because the mean of its divisors is an integer number (169076544).

Almost surely, 24002725340 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 4002725340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6086755584).

4002725340 is an abundant number, since it is smaller than the sum of its proper divisors (8170785828).

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

4002725340 is a wasteful number, since it uses less digits than its factorization.

4002725340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58459 (or 58454 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 4002725340 is about 63267.0952391526. The cubic root of 4002725340 is about 1587.7614874201.

Adding to 4002725340 its reverse (435272004), we get a palindrome (4437997344).

The spelling of 4002725340 in words is "four billion, two million, seven hundred twenty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 383 766 1149 1532 1915 2298 3447 3830 4596 5745 6894 7660 11490 13788 17235 22980 34470 58061 68940 116122 174183 232244 290305 348366 522549 580610 696732 870915 1045098 1161220 1741830 2090196 2612745 3483660 5225490 10450980 22237363 44474726 66712089 88949452 111186815 133424178 200136267 222373630 266848356 333560445 400272534 444747260 667120890 800545068 1000681335 1334241780 2001362670 4002725340