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1009322496 = 29327132983
BaseRepresentation
bin111100001010010…
…000101000000000
32121100012220011200
4330022100220000
54031341304441
6244053141200
734004046120
oct7412205000
92540186150
101009322496
11478810a26
1224202a800
13131152560
1498096c80
155d9237b6
hex3c290a00

1009322496 has 480 divisors, whose sum is σ = 3753509760. Its totient is φ = 253919232.

The previous prime is 1009322491. The next prime is 1009322527. The reversal of 1009322496 is 6942239001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1009322496.

It is not an unprimeable number, because it can be changed into a prime (1009322491) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12160471 + ... + 12160553.

It is an arithmetic number, because the mean of its divisors is an integer number (7819812).

Almost surely, 21009322496 is an apocalyptic number.

1009322496 is a gapful number since it is divisible by the number (16) 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 1009322496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1876754880).

1009322496 is an abundant number, since it is smaller than the sum of its proper divisors (2744187264).

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

1009322496 is a wasteful number, since it uses less digits than its factorization.

1009322496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1009322496 is about 31769.8362602013. The cubic root of 1009322496 is about 1003.0978918228.

The spelling of 1009322496 in words is "one billion, nine million, three hundred twenty-two thousand, four hundred ninety-six".