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993689450 = 25213892193
BaseRepresentation
bin111011001110100…
…111111101101010
32120020210122122222
4323032213331222
54013341030300
6242334114042
733424135535
oct7316477552
92506718588
10993689450
1146aa03656
1223894b922
1312ab3aa30
1495d87a1c
155c386785
hex3b3a7f6a

993689450 has 72 divisors (see below), whose sum is σ = 2023482468. Its totient is φ = 360898560.

The previous prime is 993689443. The next prime is 993689461. The reversal of 993689450 is 54986399.

It can be written as a sum of positive squares in 18 ways, for example, as 515698681 + 477990769 = 22709^2 + 21863^2 .

It is a junction number, because it is equal to n+sod(n) for n = 993689392 and 993689401.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5148554 + ... + 5148746.

Almost surely, 2993689450 is an apocalyptic number.

993689450 is an abundant number, since it is smaller than the sum of its proper divisors (1029793018).

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

993689450 is a wasteful number, since it uses less digits than its factorization.

993689450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 53.

The square root of 993689450 is about 31522.8401321962. The cubic root of 993689450 is about 997.8920429727.

The spelling of 993689450 in words is "nine hundred ninety-three million, six hundred eighty-nine thousand, four hundred fifty".

Divisors: 1 2 5 10 13 25 26 50 65 89 130 178 193 325 386 445 650 890 965 1157 1930 2225 2314 2509 4450 4825 5018 5785 7921 9650 11570 12545 15842 17177 25090 28925 34354 39605 57850 62725 79210 85885 102973 125450 171770 198025 205946 223301 396050 429425 446602 514865 858850 1029730 1116505 1528753 2233010 2574325 3057506 5148650 5582525 7643765 11165050 15287530 19873789 38218825 39747578 76437650 99368945 198737890 496844725 993689450