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2543021952 = 27338317291
BaseRepresentation
bin1001011110010011…
…0110111110000000
320120020010220022020
42113210312332000
520202003200302
61100201441440
7120006221112
oct22744667600
96506126266
102543021952
111095519039
125ab7a0280
13316b13623
141a1a4d3b2
15ed3c7ebc
hex97936f80

2543021952 has 64 divisors (see below), whose sum is σ = 6772930560. Its totient is φ = 845411840.

The previous prime is 2543021893. The next prime is 2543021963. The reversal of 2543021952 is 2591203452.

2543021952 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138427 + ... + 155717.

It is an arithmetic number, because the mean of its divisors is an integer number (105827040).

Almost surely, 22543021952 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 2543021952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386465280).

2543021952 is an abundant number, since it is smaller than the sum of its proper divisors (4229908608).

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

2543021952 is a wasteful number, since it uses less digits than its factorization.

2543021952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17691 (or 17679 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 2543021952 is about 50428.3843881598. The cubic root of 2543021952 is about 1364.9498748516.

The spelling of 2543021952 in words is "two billion, five hundred forty-three million, twenty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 383 384 766 1149 1532 2298 3064 4596 6128 9192 12256 17291 18384 24512 34582 36768 49024 51873 69164 73536 103746 138328 147072 207492 276656 414984 553312 829968 1106624 1659936 2213248 3319872 6622453 6639744 13244906 19867359 26489812 39734718 52979624 79469436 105959248 158938872 211918496 317877744 423836992 635755488 847673984 1271510976 2543021952