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890656064 = 2673379503
BaseRepresentation
bin110101000101100…
…101010101000000
32022001221000102122
4311011211111000
53311001443224
6224213503412
731033310624
oct6505452500
92261830378
10890656064
114178300a1
1220a341b68
131126a462c
1486407184
15532d315e
hex35165540

890656064 has 56 divisors (see below), whose sum is σ = 1799904960. Its totient is φ = 437197824.

The previous prime is 890656057. The next prime is 890656087. The reversal of 890656064 is 460656098.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1770437 + ... + 1770939.

It is an arithmetic number, because the mean of its divisors is an integer number (32141160).

Almost surely, 2890656064 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 890656064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899952480).

890656064 is an abundant number, since it is smaller than the sum of its proper divisors (909248896).

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

890656064 is a wasteful number, since it uses less digits than its factorization.

890656064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The square root of 890656064 is about 29843.8614123575. The cubic root of 890656064 is about 962.1364686390.

The spelling of 890656064 in words is "eight hundred ninety million, six hundred fifty-six thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 73 146 292 379 503 584 758 1006 1168 1516 2012 2336 3032 4024 4672 6064 8048 12128 16096 24256 27667 32192 36719 55334 73438 110668 146876 190637 221336 293752 381274 442672 587504 762548 885344 1175008 1525096 1770688 2350016 3050192 6100384 12200768 13916501 27833002 55666004 111332008 222664016 445328032 890656064