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993053392 = 24194916653
BaseRepresentation
bin111011001100001…
…100101011010000
32120012121100011021
4323030030223100
54013210202032
6242312325224
733415546252
oct7314145320
92505540137
10993053392
1146a609791
122386a3814
1312a977376
1495c5dcd2
155c2ad097
hex3b30cad0

993053392 has 40 divisors (see below), whose sum is σ = 2029736160. Its totient is φ = 469365120.

The previous prime is 993053381. The next prime is 993053393. The reversal of 993053392 is 293350399.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993053393) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145938 + ... + 152590.

It is an arithmetic number, because the mean of its divisors is an integer number (50743404).

Almost surely, 2993053392 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 993053392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014868080).

993053392 is an abundant number, since it is smaller than the sum of its proper divisors (1036682768).

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

993053392 is a wasteful number, since it uses less digits than its factorization.

993053392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7171 (or 7165 counting only the distinct ones).

The product of its (nonzero) digits is 196830, while the sum is 43.

The square root of 993053392 is about 31512.7496737432. The cubic root of 993053392 is about 997.6790815047.

The spelling of 993053392 in words is "nine hundred ninety-three million, fifty-three thousand, three hundred ninety-two".

Divisors: 1 2 4 8 16 19 38 76 152 304 491 982 1964 3928 6653 7856 9329 13306 18658 26612 37316 53224 74632 106448 126407 149264 252814 505628 1011256 2022512 3266623 6533246 13066492 26132984 52265968 62065837 124131674 248263348 496526696 993053392