Search a number
-
+
4990248 = 233517151
BaseRepresentation
bin10011000010010100101000
3100101112100000
4103002110220
52234141443
6254543000
760262554
oct23022450
910345300
104990248
1128a927a
121807a60
131059513
1493c864
156888d3
hex4c2528

4990248 has 96 divisors (see below), whose sum is σ = 14938560. Its totient is φ = 1555200.

The previous prime is 4990243. The next prime is 4990259. The reversal of 4990248 is 8420994.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4990243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32973 + ... + 33123.

It is an arithmetic number, because the mean of its divisors is an integer number (155610).

Almost surely, 24990248 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 4990248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7469280).

4990248 is an abundant number, since it is smaller than the sum of its proper divisors (9948312).

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

4990248 is a wasteful number, since it uses less digits than its factorization.

4990248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4990248 is about 2233.8862997028. The cubic root of 4990248 is about 170.8863510769.

The spelling of 4990248 in words is "four million, nine hundred ninety thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 151 153 162 204 216 243 302 306 324 408 453 459 486 604 612 648 906 918 972 1208 1224 1359 1377 1812 1836 1944 2567 2718 2754 3624 3672 4077 4131 5134 5436 5508 7701 8154 8262 10268 10872 11016 12231 15402 16308 16524 20536 23103 24462 30804 32616 33048 36693 46206 48924 61608 69309 73386 92412 97848 138618 146772 184824 207927 277236 293544 415854 554472 623781 831708 1247562 1663416 2495124 4990248