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890627064 = 233471934091
BaseRepresentation
bin110101000101011…
…110001111111000
32022001212112122120
4311011132033320
53311000031224
6224213121240
731033130235
oct6505361770
92261775576
10890627064
11417810328
1220a329220
13112694382
14863da78c
15532c9779
hex3515e3f8

890627064 has 64 divisors (see below), whose sum is σ = 2286282240. Its totient is φ = 288983040.

The previous prime is 890627063. The next prime is 890627081. The reversal of 890627064 is 460726098.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (890627063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215659 + ... + 219749.

It is an arithmetic number, because the mean of its divisors is an integer number (35723160).

Almost surely, 2890627064 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 890627064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143141120).

890627064 is an abundant number, since it is smaller than the sum of its proper divisors (1395655176).

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

890627064 is a wasteful number, since it uses less digits than its factorization.

890627064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4340 (or 4336 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 890627064 is about 29843.3755463419. The cubic root of 890627064 is about 962.1260260520.

The spelling of 890627064 in words is "eight hundred ninety million, six hundred twenty-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 193 282 376 386 564 579 772 1128 1158 1544 2316 4091 4632 8182 9071 12273 16364 18142 24546 27213 32728 36284 49092 54426 72568 98184 108852 192277 217704 384554 576831 769108 789563 1153662 1538216 1579126 2307324 2368689 3158252 4614648 4737378 6316504 9474756 18949512 37109461 74218922 111328383 148437844 222656766 296875688 445313532 890627064