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2730896544 = 25383342733
BaseRepresentation
bin1010001011000110…
…0010110010100000
321001022122220210110
42202301202302200
521043102142134
61130552331320
7124450144335
oct24261426240
97038586713
102730896544
111181579aa2
126426a3b40
13346a1381c
141bc99698c
1510eb397e9
hexa2c62ca0

2730896544 has 48 divisors (see below), whose sum is σ = 7254993312. Its totient is φ = 899328768.

The previous prime is 2730896537. The next prime is 2730896549. The reversal of 2730896544 is 4456980372.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×27308965442 = 14915591868062287872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2730896493 and 2730896502.

It is not an unprimeable number, because it can be changed into a prime (2730896549) 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, 163399 + ... + 179334.

It is an arithmetic number, because the mean of its divisors is an integer number (151145694).

Almost surely, 22730896544 is an apocalyptic number.

2730896544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2730896544 is an abundant number, since it is smaller than the sum of its proper divisors (4524096768).

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

2730896544 is a wasteful number, since it uses less digits than its factorization.

2730896544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342829 (or 342821 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The square root of 2730896544 is about 52257.9806728121. The cubic root of 2730896544 is about 1397.7679644204.

The spelling of 2730896544 in words is "two billion, seven hundred thirty million, eight hundred ninety-six thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 249 332 498 664 996 1328 1992 2656 3984 7968 342733 685466 1028199 1370932 2056398 2741864 4112796 5483728 8225592 10967456 16451184 28446839 32902368 56893678 85340517 113787356 170681034 227574712 341362068 455149424 682724136 910298848 1365448272 2730896544