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4052440524 = 2231123079091
BaseRepresentation
bin1111000110001011…
…0101010111001100
3101110102101022022210
43301202311113030
531244411044044
61510041510420
7202265114256
oct36142652714
911412338283
104052440524
11179a551600
129511a2410
134c7752902
142a62c4cd6
1518ab831b9
hexf18b55cc

4052440524 has 72 divisors (see below), whose sum is σ = 10428451264. Its totient is φ = 1223877600.

The previous prime is 4052440523. The next prime is 4052440531. The reversal of 4052440524 is 4250442504.

It is a junction number, because it is equal to n+sod(n) for n = 4052440491 and 4052440500.

It is not an unprimeable number, because it can be changed into a prime (4052440523) 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 23 ways as a sum of consecutive naturals, for example, 441219 + ... + 450309.

Almost surely, 24052440524 is an apocalyptic number.

4052440524 is a gapful number since it is divisible by the number (44) 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 4052440524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5214225632).

4052440524 is an abundant number, since it is smaller than the sum of its proper divisors (6376010740).

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

4052440524 is a wasteful number, since it uses less digits than its factorization.

4052440524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9427 (or 9414 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

The square root of 4052440524 is about 63658.7819864628. The cubic root of 4052440524 is about 1594.3079677222.

The spelling of 4052440524 in words is "four billion, fifty-two million, four hundred forty thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 307 363 484 614 726 921 1228 1452 1842 3377 3684 6754 9091 10131 13508 18182 20262 27273 36364 37147 40524 54546 74294 100001 109092 111441 148588 200002 222882 300003 400004 445764 600006 1100011 1200012 2200022 2790937 3300033 4400044 5581874 6600066 8372811 11163748 13200132 16745622 30700307 33491244 61400614 92100921 122801228 184201842 337703377 368403684 675406754 1013110131 1350813508 2026220262 4052440524