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2952528340 = 225147626417
BaseRepresentation
bin1010111111111100…
…0000000111010100
321121202200222110111
42233333000013110
522021321401330
61204550532404
7133111035226
oct25777000724
97552628414
102952528340
111285697273
126a4967104
13380902bb8
142001aa416
1512431832a
hexaffc01d4

2952528340 has 12 divisors (see below), whose sum is σ = 6200309556. Its totient is φ = 1181011328.

The previous prime is 2952528301. The next prime is 2952528343. The reversal of 2952528340 is 438252592.

It can be written as a sum of positive squares in 2 ways, for example, as 996412356 + 1956115984 = 31566^2 + 44228^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2952528293 and 2952528302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2952528343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 73813189 + ... + 73813228.

It is an arithmetic number, because the mean of its divisors is an integer number (516692463).

Almost surely, 22952528340 is an apocalyptic number.

2952528340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2952528340 is an abundant number, since it is smaller than the sum of its proper divisors (3247781216).

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

2952528340 is a wasteful number, since it uses less digits than its factorization.

2952528340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147626426 (or 147626424 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The square root of 2952528340 is about 54337.1727273328. The cubic root of 2952528340 is about 1434.6017566965.

The spelling of 2952528340 in words is "two billion, nine hundred fifty-two million, five hundred twenty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 147626417 295252834 590505668 738132085 1476264170 2952528340