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2534492736 = 2632174159107
BaseRepresentation
bin1001011100010001…
…0100101001000000
320112122002120102100
42113010110221000
520142312231421
61055254550400
7116543555436
oct22704245100
96478076370
102534492736
1110907229a6
125a8968400
13315118359
141a086cd56
15ec790c26
hex97114a40

2534492736 has 336 divisors, whose sum is σ = 8088050880. Its totient is φ = 755466240.

The previous prime is 2534492693. The next prime is 2534492747. The reversal of 2534492736 is 6372944352.

2534492736 is a `hidden beast` number, since 2 + 534 + 49 + 2 + 73 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2534492691 and 2534492700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23686795 + ... + 23686901.

It is an arithmetic number, because the mean of its divisors is an integer number (24071580).

Almost surely, 22534492736 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 2534492736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4044025440).

2534492736 is an abundant number, since it is smaller than the sum of its proper divisors (5553558144).

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

2534492736 is a wasteful number, since it uses less digits than its factorization.

2534492736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 229 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The square root of 2534492736 is about 50343.7457486032. The cubic root of 2534492736 is about 1363.4221659002.

The spelling of 2534492736 in words is "two billion, five hundred thirty-four million, four hundred ninety-two thousand, seven hundred thirty-six".