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2050002052 = 2271723533533
BaseRepresentation
bin111101000110000…
…1000110010000100
312021212102220010221
41322030020302010
513144300031202
6535230354124
7101541505240
oct17214106204
95255386127
102050002052
1196219997a
1249265b944
13268933687
14156393420
15bee8d037
hex7a308c84

2050002052 has 96 divisors (see below), whose sum is σ = 4616704512. Its totient is φ = 775796736.

The previous prime is 2050002041. The next prime is 2050002077. The reversal of 2050002052 is 2502000502.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 578478 + ... + 582010.

It is an arithmetic number, because the mean of its divisors is an integer number (48090672).

Almost surely, 22050002052 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 2050002052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2308352256).

2050002052 is an abundant number, since it is smaller than the sum of its proper divisors (2566702460).

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

2050002052 is a wasteful number, since it uses less digits than its factorization.

2050002052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3637 (or 3635 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 16.

The square root of 2050002052 is about 45276.9483512306. The cubic root of 2050002052 is about 1270.3345166302.

Adding to 2050002052 its reverse (2502000502), we get a palindrome (4552002554).

The spelling of 2050002052 in words is "two billion, fifty million, two thousand, fifty-two", and thus it is an eban number.

Divisors: 1 2 4 7 14 17 23 28 34 46 53 68 92 106 119 161 212 238 322 371 391 476 644 742 782 901 1219 1484 1564 1802 2438 2737 3533 3604 4876 5474 6307 7066 8533 10948 12614 14132 17066 20723 24731 25228 34132 41446 49462 60061 81259 82892 98924 120122 145061 162518 187249 240244 290122 325036 374498 420427 568813 580244 748996 840854 1137626 1310743 1381403 1681708 2275252 2621486 2762806 3183233 4306727 5242972 5525612 6366466 8613454 9669821 12732932 17226908 19339642 22282631 30147089 38679284 44565262 60294178 73214359 89130524 120588356 146428718 292857436 512500513 1025001026 2050002052