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826303140 = 2233513313797
BaseRepresentation
bin110001010000000…
…110001010100100
32010120211112211000
4301100012022210
53143013200030
6213554313300
726322314025
oct6120061244
92116745730
10826303140
11394476863
121b0888830
13102262290
147ba54c4c
154c820860
hex314062a4

826303140 has 192 divisors, whose sum is σ = 2858526720. Its totient is φ = 196784640.

The previous prime is 826303091. The next prime is 826303189. The reversal of 826303140 is 41303628.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (826303091) and next prime (826303189).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 215722 + ... + 219518.

It is an arithmetic number, because the mean of its divisors is an integer number (14888160).

Almost surely, 2826303140 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 826303140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429263360).

826303140 is an abundant number, since it is smaller than the sum of its proper divisors (2032223580).

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

826303140 is a wasteful number, since it uses less digits than its factorization.

826303140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3859 (or 3851 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 826303140 is about 28745.4890374125. The cubic root of 826303140 is about 938.3822862153.

Adding to 826303140 its reverse (41303628), we get a palindrome (867606768).

The spelling of 826303140 in words is "eight hundred twenty-six million, three hundred three thousand, one hundred forty".