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3525141568 = 261316572557
BaseRepresentation
bin1101001000011101…
…0110010001000000
3100002200011202010211
43102013112101000
524204414012233
61341444003504
7153233131444
oct32207262100
910080152124
103525141568
11154993a043
12824690594
134424300b0
14256264824
151597265cd
hexd21d6440

3525141568 has 56 divisors (see below), whose sum is σ = 7540789592. Its totient is φ = 1625370624.

The previous prime is 3525141563. The next prime is 3525141577. The reversal of 3525141568 is 8651415253.

It can be written as a sum of positive squares in 4 ways, for example, as 16711744 + 3508429824 = 4088^2 + 59232^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3525141568.

It is not an unprimeable number, because it can be changed into a prime (3525141563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1377346 + ... + 1379902.

It is an arithmetic number, because the mean of its divisors is an integer number (134656957).

Almost surely, 23525141568 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 3525141568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3770394796).

3525141568 is an abundant number, since it is smaller than the sum of its proper divisors (4015648024).

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

3525141568 is a wasteful number, since it uses less digits than its factorization.

3525141568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4239 (or 4229 counting only the distinct ones).

The product of its digits is 144000, while the sum is 40.

The square root of 3525141568 is about 59372.9026408512. The cubic root of 3525141568 is about 1521.9212731739.

The spelling of 3525141568 in words is "three billion, five hundred twenty-five million, one hundred forty-one thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 1657 2557 3314 5114 6628 10228 13256 20456 21541 26512 33241 40912 43082 53024 66482 81824 86164 106048 132964 163648 172328 265928 344656 531856 689312 1063712 1378624 2127424 4236949 8473898 16947796 33895592 55080337 67791184 110160674 135582368 220321348 271164736 440642696 881285392 1762570784 3525141568