Search a number
-
+
989162496 = 21033719269
BaseRepresentation
bin111010111101010…
…110110000000000
32112221021122212000
4322331112300000
54011211144441
6242053104000
733340512450
oct7275266000
92487248760
10989162496
114683a1473
12237328000
13129c1436a
1495529d60
155bc902b6
hex3af56c00

989162496 has 352 divisors, whose sum is σ = 3537216000. Its totient is φ = 266747904.

The previous prime is 989162491. The next prime is 989162533. The reversal of 989162496 is 694261989.

989162496 is a `hidden beast` number, since 9 + 8 + 9 + 1 + 624 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1679616) is a multiple of the sum of its prime factors (324).

It is not an unprimeable number, because it can be changed into a prime (989162491) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3677050 + ... + 3677318.

Almost surely, 2989162496 is an apocalyptic number.

989162496 is a gapful number since it is divisible by the number (96) 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 989162496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768608000).

989162496 is an abundant number, since it is smaller than the sum of its proper divisors (2548053504).

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

989162496 is a wasteful number, since it uses less digits than its factorization.

989162496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 300 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 989162496 is about 31450.9538170148. The cubic root of 989162496 is about 996.3743693556.

The spelling of 989162496 in words is "nine hundred eighty-nine million, one hundred sixty-two thousand, four hundred ninety-six".