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890352096 = 25361152041
BaseRepresentation
bin110101000100011…
…011000111100000
32022001100120110120
4311010123013200
53310412231341
6224203200240
731030603464
oct6504330740
92261316416
10890352096
11417642787
1220a216080
131125c917a
14863684a4
1553273066
hex3511b1e0

890352096 has 48 divisors (see below), whose sum is σ = 2375504208. Its totient is φ = 291916800.

The previous prime is 890352091. The next prime is 890352107. The reversal of 890352096 is 690253098.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (890352091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70165 + ... + 81876.

It is an arithmetic number, because the mean of its divisors is an integer number (49489671).

Almost surely, 2890352096 is an apocalyptic number.

It is an amenable number.

890352096 is an abundant number, since it is smaller than the sum of its proper divisors (1485152112).

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

890352096 is a wasteful number, since it uses less digits than its factorization.

890352096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152115 (or 152107 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 890352096 is about 29838.7683391926. The cubic root of 890352096 is about 962.0270017764.

The spelling of 890352096 in words is "eight hundred ninety million, three hundred fifty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1952 2928 5856 152041 304082 456123 608164 912246 1216328 1824492 2432656 3648984 4865312 7297968 9274501 14595936 18549002 27823503 37098004 55647006 74196008 111294012 148392016 222588024 296784032 445176048 890352096