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868414950 = 2325213219601
BaseRepresentation
bin110011110000101…
…111010111100110
32020112002001100200
4303300233113212
53234303234300
6222101051330
730343256004
oct6360572746
92215061320
10868414950
1140621a007
122029b6b46
1310abb8100
1483497a74
155138d200
hex33c2f5e6

868414950 has 216 divisors, whose sum is σ = 2663813880. Its totient is φ = 202176000.

The previous prime is 868414949. The next prime is 868414957. The reversal of 868414950 is 59414868.

868414950 is a `hidden beast` number, since 86 + 84 + 1 + 495 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 868414896 and 868414905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (868414957) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1444650 + ... + 1445250.

Almost surely, 2868414950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 868414950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331906940).

868414950 is an abundant number, since it is smaller than the sum of its proper divisors (1795398930).

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

868414950 is a wasteful number, since it uses less digits than its factorization.

868414950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 868414950 is about 29468.8810442473. The cubic root of 868414950 is about 954.0601665573.

The spelling of 868414950 in words is "eight hundred sixty-eight million, four hundred fourteen thousand, nine hundred fifty".