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2444375420 = 2253143277331
BaseRepresentation
bin1001000110110010…
…0011010101111100
320022100112010200222
42101230203111330
520001230003140
61042315240512
7114400563644
oct22154432574
96270463628
102444375420
111044871483
12582749138
132cc554bb6
141928d1524
15e48de5b5
hex91b2357c

2444375420 has 96 divisors (see below), whose sum is σ = 5458016256. Its totient is φ = 918086400.

The previous prime is 2444375399. The next prime is 2444375429. The reversal of 2444375420 is 245734442.

2444375420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2444375429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7384655 + ... + 7384985.

It is an arithmetic number, because the mean of its divisors is an integer number (56854336).

Almost surely, 22444375420 is an apocalyptic number.

2444375420 is a gapful number since it is divisible by the number (20) 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 2444375420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729008128).

2444375420 is an abundant number, since it is smaller than the sum of its proper divisors (3013640836).

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

2444375420 is a wasteful number, since it uses less digits than its factorization.

2444375420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 35.

The square root of 2444375420 is about 49440.6251983124. The cubic root of 2444375420 is about 1347.0673274662.

The spelling of 2444375420 in words is "two billion, four hundred forty-four million, three hundred seventy-five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 43 62 86 124 155 172 215 277 310 331 430 554 620 662 860 1108 1324 1333 1385 1655 2666 2770 3310 5332 5540 6620 6665 8587 10261 11911 13330 14233 17174 20522 23822 26660 28466 34348 41044 42935 47644 51305 56932 59555 71165 85870 91687 102610 119110 142330 171740 183374 205220 238220 284660 366748 369241 441223 458435 738482 882446 916870 1476964 1764892 1833740 1846205 2206115 2842297 3692410 3942541 4412230 5684594 7384820 7885082 8824460 11369188 14211485 15770164 19712705 28422970 39425410 56845940 78850820 122218771 244437542 488875084 611093855 1222187710 2444375420