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250080064 = 26131717681
BaseRepresentation
bin11101110011111…
…10101101000000
3122102120101100121
432321332231000
51003010030224
640452030024
76124434253
oct1671765500
9572511317
10250080064
11119188943
126b902314
133ca6cc90
14252db09a
1516e4cbe4
hexee7eb40

250080064 has 56 divisors (see below), whose sum is σ = 565894728. Its totient is φ = 108625920.

The previous prime is 250080049. The next prime is 250080097. The reversal of 250080064 is 460080052.

It can be written as a sum of positive squares in 4 ways, for example, as 12673600 + 237406464 = 3560^2 + 15408^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5304 + ... + 22984.

It is an arithmetic number, because the mean of its divisors is an integer number (10105263).

Almost surely, 2250080064 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 250080064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282947364).

250080064 is an abundant number, since it is smaller than the sum of its proper divisors (315814664).

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

250080064 is a wasteful number, since it uses less digits than its factorization.

250080064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17723 (or 17713 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 250080064 is about 15813.9199441505. The cubic root of 250080064 is about 630.0277673156.

The spelling of 250080064 in words is "two hundred fifty million, eighty thousand, sixty-four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 136 208 221 272 416 442 544 832 884 1088 1768 3536 7072 14144 17681 35362 70724 141448 229853 282896 300577 459706 565792 601154 919412 1131584 1202308 1838824 2404616 3677648 3907501 4809232 7355296 7815002 9618464 14710592 15630004 19236928 31260008 62520016 125040032 250080064