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494437248 = 27321725247
BaseRepresentation
bin11101011110001…
…000001110000000
31021110101000101200
4131132020032000
52003033442443
6121021301200
715152435004
oct3536101600
91243330350
10494437248
11234108028
12119704800
137b588126
1449948704
152d619dd3
hex1d788380

494437248 has 96 divisors (see below), whose sum is σ = 1506548160. Its totient is φ = 155111424.

The previous prime is 494437241. The next prime is 494437261. The reversal of 494437248 is 842734494.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (494437241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6961 + ... + 32207.

It is an arithmetic number, because the mean of its divisors is an integer number (15693210).

Almost surely, 2494437248 is an apocalyptic number.

494437248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 494437248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753274080).

494437248 is an abundant number, since it is smaller than the sum of its proper divisors (1012110912).

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

494437248 is a wasteful number, since it uses less digits than its factorization.

494437248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25284 (or 25269 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 494437248 is about 22235.9449540603. The cubic root of 494437248 is about 790.7461028031.

The spelling of 494437248 in words is "four hundred ninety-four million, four hundred thirty-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 272 288 306 384 408 544 576 612 816 1088 1152 1224 1632 2176 2448 3264 4896 6528 9792 19584 25247 50494 75741 100988 151482 201976 227223 302964 403952 429199 454446 605928 807904 858398 908892 1211856 1287597 1615808 1716796 1817784 2423712 2575194 3231616 3433592 3635568 3862791 4847424 5150388 6867184 7271136 7725582 9694848 10300776 13734368 14542272 15451164 20601552 27468736 29084544 30902328 41203104 54937472 61804656 82406208 123609312 164812416 247218624 494437248