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2005242552 = 2332151184441
BaseRepresentation
bin111011110000101…
…1001001010111000
312011202012212122200
41313201121022320
513101320230202
6530551150200
7100456165125
oct16741311270
95152185580
102005242552
119399a8455
1247b675360
1325c591671
1415046174c
15bb09ae1c
hex778592b8

2005242552 has 48 divisors (see below), whose sum is σ = 5466860880. Its totient is φ = 663984000.

The previous prime is 2005242541. The next prime is 2005242581. The reversal of 2005242552 is 2552425002.

2005242552 is a `hidden beast` number, since 20 + 0 + 52 + 42 + 552 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81349 + ... + 103092.

It is an arithmetic number, because the mean of its divisors is an integer number (113892935).

Almost surely, 22005242552 is an apocalyptic number.

It is an amenable number.

2005242552 is an abundant number, since it is smaller than the sum of its proper divisors (3461618328).

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

2005242552 is a wasteful number, since it uses less digits than its factorization.

2005242552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184604 (or 184597 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 2005242552 is about 44779.9347029448. The cubic root of 2005242552 is about 1261.0209563378.

Adding to 2005242552 its reverse (2552425002), we get a palindrome (4557667554).

The spelling of 2005242552 in words is "two billion, five million, two hundred forty-two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 151 302 453 604 906 1208 1359 1812 2718 3624 5436 10872 184441 368882 553323 737764 1106646 1475528 1659969 2213292 3319938 4426584 6639876 13279752 27850591 55701182 83551773 111402364 167103546 222804728 250655319 334207092 501310638 668414184 1002621276 2005242552