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845413152 = 25331614657
BaseRepresentation
bin110010011000111…
…111101100100000
32011220210102211020
4302120333230200
53212411210102
6215520045440
726643615243
oct6230775440
92156712736
10845413152
113a4239461
121b7163880
131061c358c
14803cb25a
154e347bbc
hex3263fb20

845413152 has 96 divisors (see below), whose sum is σ = 2328850944. Its totient is φ = 268185600.

The previous prime is 845413109. The next prime is 845413159. The reversal of 845413152 is 251314548.

845413152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (845413159) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179208 + ... + 183864.

It is an arithmetic number, because the mean of its divisors is an integer number (24258864).

Almost surely, 2845413152 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 845413152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164425472).

845413152 is an abundant number, since it is smaller than the sum of its proper divisors (1483437792).

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

845413152 is a wasteful number, since it uses less digits than its factorization.

845413152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4762 (or 4754 counting only the distinct ones).

The product of its digits is 19200, while the sum is 33.

The square root of 845413152 is about 29075.9892694986. The cubic root of 845413152 is about 945.5612510998.

The spelling of 845413152 in words is "eight hundred forty-five million, four hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 61 62 93 96 122 124 183 186 244 248 366 372 488 496 732 744 976 992 1464 1488 1891 1952 2928 2976 3782 4657 5673 5856 7564 9314 11346 13971 15128 18628 22692 27942 30256 37256 45384 55884 60512 74512 90768 111768 144367 149024 181536 223536 284077 288734 433101 447072 568154 577468 852231 866202 1136308 1154936 1704462 1732404 2272616 2309872 3408924 3464808 4545232 4619744 6817848 6929616 8806387 9090464 13635696 13859232 17612774 26419161 27271392 35225548 52838322 70451096 105676644 140902192 211353288 281804384 422706576 845413152