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2748073824 = 25333180641
BaseRepresentation
bin1010001111001100…
…0100011101100000
321002111222121121000
42203303010131200
521112001330244
61132404432000
7125046146016
oct24363043540
97074877530
102748073824
1111902415a1
126483a8600
1334a4491b2
141c0d888b6
151113ce169
hexa3cc4760

2748073824 has 48 divisors (see below), whose sum is σ = 8015217840. Its totient is φ = 916024320.

The previous prime is 2748073807. The next prime is 2748073829. The reversal of 2748073824 is 4283708472.

2748073824 is a `hidden beast` number, since 27 + 480 + 73 + 82 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2748073824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2748073829) 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, 1589457 + ... + 1591184.

It is an arithmetic number, because the mean of its divisors is an integer number (166983705).

Almost surely, 22748073824 is an apocalyptic number.

2748073824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2748073824 is an abundant number, since it is smaller than the sum of its proper divisors (5267144016).

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

2748073824 is a wasteful number, since it uses less digits than its factorization.

2748073824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3180660 (or 3180646 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The square root of 2748073824 is about 52422.0738239151. The cubic root of 2748073824 is about 1400.6924846294.

It can be divided in two parts, 274807 and 3824, that added together give a triangular number (278631 = T746).

The spelling of 2748073824 in words is "two billion, seven hundred forty-eight million, seventy-three thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 3180641 6361282 9541923 12722564 19083846 25445128 28625769 38167692 50890256 57251538 76335384 85877307 101780512 114503076 152670768 171754614 229006152 305341536 343509228 458012304 687018456 916024608 1374036912 2748073824