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4084251324 = 2231919990017
BaseRepresentation
bin1111001101110000…
…1011101010111100
3101112122020110112120
43303130023222330
531331032020244
61513135402540
7203132364156
oct36334135274
911478213476
104084251324
1118064a951a
1295b983450
1350120cb7a
142aa605ad6
1518d868819
hexf370babc

4084251324 has 48 divisors (see below), whose sum is σ = 10082016000. Its totient is φ = 1283268096.

The previous prime is 4084251323. The next prime is 4084251331. The reversal of 4084251324 is 4231524804.

It is a super-2 number, since 2×40842513242 = 33362217755191505952, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4084251323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 364 + ... + 90380.

It is an arithmetic number, because the mean of its divisors is an integer number (210042000).

Almost surely, 24084251324 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 4084251324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5041008000).

4084251324 is an abundant number, since it is smaller than the sum of its proper divisors (5997764676).

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

4084251324 is a wasteful number, since it uses less digits than its factorization.

4084251324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90242 (or 90240 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 4084251324 is about 63908.1475556912. The cubic root of 4084251324 is about 1598.4687595108.

The spelling of 4084251324 in words is "four billion, eighty-four million, two hundred fifty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 199 228 398 597 796 1194 2388 3781 7562 11343 15124 22686 45372 90017 180034 270051 360068 540102 1080204 1710323 3420646 5130969 6841292 10261938 17913383 20523876 35826766 53740149 71653532 107480298 214960596 340354277 680708554 1021062831 1361417108 2042125662 4084251324