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868901418 = 235721131107
BaseRepresentation
bin110011110010100…
…110001000101010
32020112222202200000
4303302212020222
53234414321133
6222115323430
730350353200
oct6362461052
92215882600
10868901418
11406521550
12202bb0576
1310b028668
1483583070
1551437413
hex33ca622a

868901418 has 288 divisors, whose sum is σ = 2581383168. Its totient is φ = 216367200.

The previous prime is 868901401. The next prime is 868901419. The reversal of 868901418 is 814109868.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (868901419) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8120521 + ... + 8120627.

It is an arithmetic number, because the mean of its divisors is an integer number (8963136).

Almost surely, 2868901418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 868901418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290691584).

868901418 is an abundant number, since it is smaller than the sum of its proper divisors (1712481750).

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

868901418 is a wasteful number, since it uses less digits than its factorization.

868901418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 868901418 is about 29477.1338158919. The cubic root of 868901418 is about 954.2382815259.

The spelling of 868901418 in words is "eight hundred sixty-eight million, nine hundred one thousand, four hundred eighteen".