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802391040 = 210325111583
BaseRepresentation
bin101111110100111…
…000010000000000
32001220211200120200
4233310320100000
53120403003130
6211342005200
725612132323
oct5764702000
92056750520
10802391040
11381a242a0
121a4876800
13ca30c2c9
14787cc7ba
154a69a760
hex2fd38400

802391040 has 264 divisors, whose sum is σ = 3034931328. Its totient is φ = 194396160.

The previous prime is 802391021. The next prime is 802391063. The reversal of 802391040 is 40193208.

It is a tau number, because it is divible by the number of its divisors (264).

It is a junction number, because it is equal to n+sod(n) for n = 802390995 and 802391013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 506089 + ... + 507671.

It is an arithmetic number, because the mean of its divisors is an integer number (11495952).

Almost surely, 2802391040 is an apocalyptic number.

802391040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 802391040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517465664).

802391040 is an abundant number, since it is smaller than the sum of its proper divisors (2232540288).

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

802391040 is a wasteful number, since it uses less digits than its factorization.

802391040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 802391040 is about 28326.5077268625. The cubic root of 802391040 is about 929.2416988972.

The spelling of 802391040 in words is "eight hundred two million, three hundred ninety-one thousand, forty".