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2543412608 = 27113158271
BaseRepresentation
bin1001011110011001…
…0110010110000000
320120020212202011222
42113212112112000
520202103200413
61100214054212
7120012436052
oct22746262600
96506782158
102543412608
1110957655a0
125ab94a368
13316c1c399
141a1b118d2
15ed453b08
hex97996580

2543412608 has 64 divisors (see below), whose sum is σ = 5705994240. Its totient is φ = 1118784000.

The previous prime is 2543412589. The next prime is 2543412667. The reversal of 2543412608 is 8062143452.

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, 14513 + ... + 72783.

It is an arithmetic number, because the mean of its divisors is an integer number (89156160).

Almost surely, 22543412608 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 2543412608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2852997120).

2543412608 is an abundant number, since it is smaller than the sum of its proper divisors (3162581632).

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

2543412608 is a wasteful number, since it uses less digits than its factorization.

2543412608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58327 (or 58315 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 2543412608 is about 50432.2576135552. The cubic root of 2543412608 is about 1365.0197652637.

The spelling of 2543412608 in words is "two billion, five hundred forty-three million, four hundred twelve thousand, six hundred eight".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 128 176 248 341 352 496 682 704 992 1364 1408 1984 2728 3968 5456 10912 21824 43648 58271 116542 233084 466168 640981 932336 1281962 1806401 1864672 2563924 3612802 3729344 5127848 7225604 7458688 10255696 14451208 19870411 20511392 28902416 39740822 41022784 57804832 79481644 82045568 115609664 158963288 231219328 317926576 635853152 1271706304 2543412608