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838389000 = 23353172967
BaseRepresentation
bin110001111110001…
…100110100001000
32011102120120111110
4301332030310020
53204111422000
6215105330320
726530121541
oct6176146410
92142516443
10838389000
113a0281079
121b49369a0
13104904387
147d4bd4c8
154d90b850
hex31f8cd08

838389000 has 192 divisors, whose sum is σ = 2781567360. Its totient is φ = 210201600.

The previous prime is 838388987. The next prime is 838389011. The reversal of 838389000 is 983838.

It is a happy number.

It is a super-2 number, since 2×8383890002 = 1405792230642000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 838389000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 866517 + ... + 867483.

It is an arithmetic number, because the mean of its divisors is an integer number (14487330).

Almost surely, 2838389000 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 838389000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390783680).

838389000 is an abundant number, since it is smaller than the sum of its proper divisors (1943178360).

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

838389000 is a wasteful number, since it uses less digits than its factorization.

838389000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 838389000 is about 28954.9477637243. The cubic root of 838389000 is about 942.9352191674.

The spelling of 838389000 in words is "eight hundred thirty-eight million, three hundred eighty-nine thousand".