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972887552 = 29721319157
BaseRepresentation
bin111001111111010…
…001011000000000
32111210122210211022
4321333101120000
53443024400202
6240312205012
733052256600
oct7177213000
92453583738
10972887552
1145a1958aa
12231999768
13126736610
14932d0c00
155a627ea2
hex39fd1600

972887552 has 240 divisors, whose sum is σ = 2579678640. Its totient is φ = 362299392.

The previous prime is 972887537. The next prime is 972887623. The reversal of 972887552 is 255788279.

It is a happy number.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 972887552 = 2723 + 9843 = 7403 + 8283.

972887552 is a modest number, since divided by 87552 gives 9728 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 972887494 and 972887503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6196658 + ... + 6196814.

It is an arithmetic number, because the mean of its divisors is an integer number (10748661).

Almost surely, 2972887552 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 972887552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289839320).

972887552 is an abundant number, since it is smaller than the sum of its proper divisors (1606791088).

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

972887552 is a wasteful number, since it uses less digits than its factorization.

972887552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 198 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 53.

The square root of 972887552 is about 31191.1454101961. The cubic root of 972887552 is about 990.8795883083.

It can be divided in two parts, 9728 and 87552, that multiplied together give a square (851705856 = 291842).

The spelling of 972887552 in words is "nine hundred seventy-two million, eight hundred eighty-seven thousand, five hundred fifty-two".