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4087055328 = 25347905819
BaseRepresentation
bin1111001110011011…
…1000001111100000
3101112211111220220120
43303212320033200
531332241232303
61513315440240
7203165253126
oct36346701740
911484456816
104087055328
111808044184
129608b6080
13501982245
142aab35916
1518dc1e553
hexf39b83e0

4087055328 has 48 divisors (see below), whose sum is σ = 10956798720. Its totient is φ = 1333364096.

The previous prime is 4087055321. The next prime is 4087055333. The reversal of 4087055328 is 8235507804.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4087055328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4087055321) 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 7 ways as a sum of consecutive naturals, for example, 448398 + ... + 457421.

It is an arithmetic number, because the mean of its divisors is an integer number (228266640).

Almost surely, 24087055328 is an apocalyptic number.

4087055328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4087055328 is an abundant number, since it is smaller than the sum of its proper divisors (6869743392).

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

4087055328 is a wasteful number, since it uses less digits than its factorization.

4087055328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905879 (or 905871 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The square root of 4087055328 is about 63930.0815579020. The cubic root of 4087055328 is about 1598.8344803503.

The spelling of 4087055328 in words is "four billion, eighty-seven million, fifty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4512 905819 1811638 2717457 3623276 5434914 7246552 10869828 14493104 21739656 28986208 42573493 43479312 85146986 86958624 127720479 170293972 255440958 340587944 510881916 681175888 1021763832 1362351776 2043527664 4087055328