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993331592 = 2311210132
BaseRepresentation
bin111011001101010…
…000100110001000
32120020010110202222
4323031100212020
54013243102332
6242322313212
733421115321
oct7315204610
92506113688
10993331592
1146a789800
122387b8808
1312aa43b96
1495cd3448
155c315712
hex3b350988

993331592 has 36 divisors (see below), whose sum is σ = 2049230085. Its totient is φ = 451068640.

The previous prime is 993331579. The next prime is 993331597. The reversal of 993331592 is 295133399.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 540748516 + 452583076 = 23254^2 + 21274^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=22286.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (993331597) 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 8 ways as a sum of consecutive naturals, for example, 980078 + ... + 981090.

Almost surely, 2993331592 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 993331592

993331592 is an abundant number, since it is smaller than the sum of its proper divisors (1055898493).

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

993331592 is a wasteful number, since it uses less digits than its factorization.

993331592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054 (or 1026 counting only the distinct ones).

The product of its digits is 196830, while the sum is 44.

The square root of 993331592 is about 31517.1634510468. The cubic root of 993331592 is about 997.7722380956.

The spelling of 993331592 in words is "nine hundred ninety-three million, three hundred thirty-one thousand, five hundred ninety-two".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 1013 2026 4052 8104 11143 22286 44572 89144 122573 245146 490292 980584 1026169 2052338 4104676 8209352 11287859 22575718 45151436 90302872 124166449 248332898 496665796 993331592