Search a number
-
+
3025528576 = 28731107509
BaseRepresentation
bin1011010001010101…
…1110011100000000
321210212001202221221
42310111132130000
522144013403301
61220115324424
7134655366010
oct26425363400
97725052857
103025528576
111312917444
127052b0714
13392a821c5
14209b6dc40
1512a937da1
hexb455e700

3025528576 has 144 divisors (see below), whose sum is σ = 7205345280. Its totient is φ = 1240657920.

The previous prime is 3025528553. The next prime is 3025528577. The reversal of 3025528576 is 6758255203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3025528577) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5943810 + ... + 5944318.

It is an arithmetic number, because the mean of its divisors is an integer number (50037120).

Almost surely, 23025528576 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 3025528576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3602672640).

3025528576 is an abundant number, since it is smaller than the sum of its proper divisors (4179816704).

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

3025528576 is a wasteful number, since it uses less digits than its factorization.

3025528576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 43.

The square root of 3025528576 is about 55004.8050264702. The cubic root of 3025528576 is about 1446.3289739185.

The spelling of 3025528576 in words is "three billion, twenty-five million, five hundred twenty-eight thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 107 112 124 128 214 217 224 248 256 428 434 448 496 509 749 856 868 896 992 1018 1498 1712 1736 1792 1984 2036 2996 3317 3424 3472 3563 3968 4072 5992 6634 6848 6944 7126 7936 8144 11984 13268 13696 13888 14252 15779 16288 23219 23968 26536 27392 27776 28504 31558 32576 46438 47936 53072 54463 55552 57008 63116 65152 92876 95872 106144 108926 110453 114016 126232 130304 185752 191744 212288 217852 220906 228032 252464 371504 381241 424576 435704 441812 456064 504928 743008 762482 849152 871408 883624 912128 1009856 1486016 1524964 1688353 1742816 1767248 2019712 2972032 3049928 3376706 3485632 3534496 4039424 5944064 6099856 6753412 6971264 7068992 11818471 12199712 13506824 13942528 14137984 23636942 24399424 27013648 28275968 47273884 48798848 54027296 94547768 97597696 108054592 189095536 216109184 378191072 432218368 756382144 1512764288 3025528576