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4295032940 = 22511217310259
BaseRepresentation
bin1000000000000000…
…10000000001101100
3102002022212021120002
410000000100001230
532244012023230
61550105243432
7211302114632
oct40000200154
912068767502
104295032940
111904485900
129ba493578
13535aa0713
142ca5d3352
151a2102545
hex10001006c

4295032940 has 72 divisors (see below), whose sum is σ = 9972350640. Its totient is φ = 1552650880.

The previous prime is 4295032883. The next prime is 4295032969. The reversal of 4295032940 is 492305924.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4295032894 and 4295032903.

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, 413531 + ... + 423789.

It is an arithmetic number, because the mean of its divisors is an integer number (138504870).

Almost surely, 24295032940 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 4295032940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4986175320).

4295032940 is an abundant number, since it is smaller than the sum of its proper divisors (5677317700).

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

4295032940 is a wasteful number, since it uses less digits than its factorization.

4295032940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10463 (or 10450 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The square root of 4295032940 is about 65536.5008220610. The cubic root of 4295032940 is about 1625.5069585118.

The spelling of 4295032940 in words is "four billion, two hundred ninety-five million, thirty-two thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 173 220 242 346 484 605 692 865 1210 1730 1903 2420 3460 3806 7612 9515 10259 19030 20518 20933 38060 41036 41866 51295 83732 102590 104665 112849 205180 209330 225698 418660 451396 564245 1128490 1241339 1774807 2256980 2482678 3549614 4965356 6206695 7099228 8874035 12413390 17748070 19522877 24826780 35496140 39045754 78091508 97614385 195228770 214751647 390457540 429503294 859006588 1073758235 2147516470 4295032940