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2753376 = 253232943
BaseRepresentation
bin1010100000001101100000
312011212220220
422200031200
51201102001
6135003040
732255223
oct12401540
95155826
102753376
11161071a
12b09480
13755322
145195ba
15395c36
hex2a0360

2753376 has 96 divisors (see below), whose sum is σ = 7983360. Its totient is φ = 827904.

The previous prime is 2753369. The next prime is 2753407. The reversal of 2753376 is 6733572.

2753376 is nontrivially palindromic in base 7.

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

Its product of digits (26460) is a multiple of the sum of its prime factors (108).

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64011 + ... + 64053.

It is an arithmetic number, because the mean of its divisors is an integer number (83160).

22753376 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 2753376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3991680).

2753376 is an abundant number, since it is smaller than the sum of its proper divisors (5229984).

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

2753376 is a wasteful number, since it uses less digits than its factorization.

2753376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 100 counting only the distinct ones).

The product of its digits is 26460, while the sum is 33.

The square root of 2753376 is about 1659.3299852651. The cubic root of 2753376 is about 140.1592745110.

It can be divided in two parts, 2 and 753376, that added together give a triangular number (753378 = T1227).

The spelling of 2753376 in words is "two million, seven hundred fifty-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 32 43 46 48 58 69 86 87 92 96 116 129 138 172 174 184 232 258 276 344 348 368 464 516 552 667 688 696 736 928 989 1032 1104 1247 1334 1376 1392 1978 2001 2064 2208 2494 2668 2784 2967 3741 3956 4002 4128 4988 5336 5934 7482 7912 8004 9976 10672 11868 14964 15824 16008 19952 21344 23736 28681 29928 31648 32016 39904 47472 57362 59856 64032 86043 94944 114724 119712 172086 229448 344172 458896 688344 917792 1376688 2753376