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4379779404 = 223371121329127
BaseRepresentation
bin1000001010000111…
…00010000101001100
3102022020022211212000
410011003202011030
532432210420104
62002333512300
7213351340110
oct40503420514
912266284760
104379779404
1119482a9100
12a22942690
1354a503360
142d7973740
151a9792639
hex1050e214c

4379779404 has 576 divisors, whose sum is σ = 16016179200. Its totient is φ = 1005903360.

The previous prime is 4379779381. The next prime is 4379779421. The reversal of 4379779404 is 4049779734.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34486389 + ... + 34486515.

Almost surely, 24379779404 is an apocalyptic number.

4379779404 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 4379779404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8008089600).

4379779404 is an abundant number, since it is smaller than the sum of its proper divisors (11636399796).

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

4379779404 is a wasteful number, since it uses less digits than its factorization.

4379779404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The square root of 4379779404 is about 66179.9018131638. The cubic root of 4379779404 is about 1636.1285096813.

It can be divided in two parts, 43797 and 79404, that added together give a square (123201 = 3512).

The spelling of 4379779404 in words is "four billion, three hundred seventy-nine million, seven hundred seventy-nine thousand, four hundred four".