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2949863424 = 2113736577
BaseRepresentation
bin1010111111010011…
…0101100000000000
321121120200120212220
42233310311200000
522020131112144
61204413451040
7133046265624
oct25764654000
97546616786
102949863424
111284137062
126a3aa0a80
133801abc21
141ddab5184
15123e8d919
hexafd35800

2949863424 has 96 divisors (see below), whose sum is σ = 7973325360. Its totient is φ = 969670656.

The previous prime is 2949863407. The next prime is 2949863429. The reversal of 2949863424 is 4243689492.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2949863429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 445224 + ... + 451800.

Almost surely, 22949863424 is an apocalyptic number.

2949863424 is a gapful number since it is divisible by the number (24) 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 2949863424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3986662680).

2949863424 is an abundant number, since it is smaller than the sum of its proper divisors (5023461936).

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

2949863424 is an equidigital number, since it uses as much as digits as its factorization.

2949863424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6675 (or 6655 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 51.

The square root of 2949863424 is about 54312.6451574585. The cubic root of 2949863424 is about 1434.1700087687.

The spelling of 2949863424 in words is "two billion, nine hundred forty-nine million, eight hundred sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 128 146 192 219 256 292 384 438 512 584 768 876 1024 1168 1536 1752 2048 2336 3072 3504 4672 6144 6577 7008 9344 13154 14016 18688 19731 26308 28032 37376 39462 52616 56064 74752 78924 105232 112128 149504 157848 210464 224256 315696 420928 448512 480121 631392 841856 960242 1262784 1440363 1683712 1920484 2525568 2880726 3367424 3840968 5051136 5761452 6734848 7681936 10102272 11522904 13469696 15363872 20204544 23045808 30727744 40409088 46091616 61455488 92183232 122910976 184366464 245821952 368732928 491643904 737465856 983287808 1474931712 2949863424