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2050640532 = 2232236194001
BaseRepresentation
bin111101000111010…
…0100101010010100
312021220122022222100
41322032210222110
513144430444112
6535252202100
7101550104553
oct17216445224
95256568870
102050640532
11962595646
12492909330
13268ac8185
141564bbd9a
15c00672dc
hex7a3a4a94

2050640532 has 72 divisors (see below), whose sum is σ = 5419028160. Its totient is φ = 652608000.

The previous prime is 2050640513. The next prime is 2050640533. The reversal of 2050640532 is 2350460502.

2050640532 is a `hidden beast` number, since 20 + 50 + 64 + 0 + 532 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2050640496 and 2050640505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2050640533) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 510532 + ... + 514532.

It is an arithmetic number, because the mean of its divisors is an integer number (75264280).

Almost surely, 22050640532 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 2050640532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2709514080).

2050640532 is an abundant number, since it is smaller than the sum of its proper divisors (3368387628).

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

2050640532 is a wasteful number, since it uses less digits than its factorization.

2050640532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4653 (or 4648 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2050640532 is about 45283.9986308630. The cubic root of 2050640532 is about 1270.4663862529.

The spelling of 2050640532 in words is "two billion, fifty million, six hundred forty thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 619 828 1238 1857 2476 3714 4001 5571 7428 8002 11142 12003 14237 16004 22284 24006 28474 36009 42711 48012 56948 72018 85422 92023 128133 144036 170844 184046 256266 276069 368092 512532 552138 828207 1104276 1656414 2476619 3312828 4953238 7429857 9906476 14859714 22289571 29719428 44579142 56962237 89158284 113924474 170886711 227848948 341773422 512660133 683546844 1025320266 2050640532