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993061425 = 35241931601
BaseRepresentation
bin111011001100001…
…110101000110001
32120012121202011210
4323030032220301
54013210431200
6242312430333
733415611546
oct7314165061
92505552153
10993061425
1146a614824
122386a83a9
1312a97ac15
1495c62bcd
155c2b0650
hex3b30ea31

993061425 has 24 divisors (see below), whose sum is σ = 1645832160. Its totient is φ = 528352000.

The previous prime is 993061423. The next prime is 993061439. The reversal of 993061425 is 524160399.

993061425 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 993061425 - 21 = 993061423 is a prime.

It is not an unprimeable number, because it can be changed into a prime (993061423) 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, 15625 + ... + 47225.

It is an arithmetic number, because the mean of its divisors is an integer number (68576340).

It is the magic constant of a 1257 × 1257 magic square.

Almost surely, 2993061425 is an apocalyptic number.

It is an amenable number.

993061425 is a deficient number, since it is larger than the sum of its proper divisors (652770735).

993061425 is a wasteful number, since it uses less digits than its factorization.

993061425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32033 (or 32028 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 993061425 is about 31512.8771298338. The cubic root of 993061425 is about 997.6817716368.

The spelling of 993061425 in words is "nine hundred ninety-three million, sixty-one thousand, four hundred twenty-five".

Divisors: 1 3 5 15 25 75 419 1257 2095 6285 10475 31425 31601 94803 158005 474015 790025 2370075 13240819 39722457 66204095 198612285 331020475 993061425