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397782252 = 223571719181
BaseRepresentation
bin10111101101011…
…010110011101100
31000201111102200000
4113231122303230
51303313013002
6103245504300
712600044010
oct2755326354
91021442600
10397782252
111945a076a
12b1272090
136454601a
143ab88540
1524dc661c
hex17b5acec

397782252 has 288 divisors, whose sum is σ = 1335559680. Its totient is φ = 100776960.

The previous prime is 397782247. The next prime is 397782313. The reversal of 397782252 is 252287793.

397782252 is a `hidden beast` number, since 397 + 7 + 8 + 2 + 252 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 397782198 and 397782207.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2197602 + ... + 2197782.

It is an arithmetic number, because the mean of its divisors is an integer number (4637360).

Almost surely, 2397782252 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 397782252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667779840).

397782252 is an abundant number, since it is smaller than the sum of its proper divisors (937777428).

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

397782252 is a wasteful number, since it uses less digits than its factorization.

397782252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 229 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 397782252 is about 19944.4792361195. The cubic root of 397782252 is about 735.4420664270.

The spelling of 397782252 in words is "three hundred ninety-seven million, seven hundred eighty-two thousand, two hundred fifty-two".