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2005528052 = 2211219218087
BaseRepresentation
bin111011110001001…
…1110110111110100
312011202202101021202
41313202132313310
513101403344202
6531001232032
7100461464363
oct16742366764
95152671252
102005528052
1193a082a00
1247b792618
1325c6615b8
141504d77da
15bb105802
hex7789edf4

2005528052 has 36 divisors (see below), whose sum is σ = 4060798560. Its totient is φ = 863620560.

The previous prime is 2005528009. The next prime is 2005528099. The reversal of 2005528052 is 2508255002.

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, 99848 + ... + 118239.

It is an arithmetic number, because the mean of its divisors is an integer number (112799960).

Almost surely, 22005528052 is an apocalyptic number.

2005528052 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2005528052 is an abundant number, since it is smaller than the sum of its proper divisors (2055270508).

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

2005528052 is a wasteful number, since it uses less digits than its factorization.

2005528052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218132 (or 218119 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 29.

The square root of 2005528052 is about 44783.1224011904. The cubic root of 2005528052 is about 1261.0808002036.

The spelling of 2005528052 in words is "two billion, five million, five hundred twenty-eight thousand, fifty-two".

Divisors: 1 2 4 11 19 22 38 44 76 121 209 242 418 484 836 2299 4598 9196 218087 436174 872348 2398957 4143653 4797914 8287306 9595828 16574612 26388527 45580183 52777054 91160366 105554108 182320732 501382013 1002764026 2005528052