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2878752 = 253157191
BaseRepresentation
bin1010111110110100100000
312102020220110
422332310200
51214110002
6141411320
733316602
oct12766440
95366813
102878752
111696938
12b69b40
1379a406
1454d172
153bce6c
hex2bed20

2878752 has 48 divisors (see below), whose sum is σ = 7644672. Its totient is φ = 948480.

The previous prime is 2878751. The next prime is 2878769. The reversal of 2878752 is 2578782.

2878752 is digitally balanced in base 2, because in such base 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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2878752.

It is not an unprimeable number, because it can be changed into a prime (2878751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14977 + ... + 15167.

It is an arithmetic number, because the mean of its divisors is an integer number (159264).

22878752 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 2878752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3822336).

2878752 is an abundant number, since it is smaller than the sum of its proper divisors (4765920).

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

2878752 is a wasteful number, since it uses less digits than its factorization.

2878752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 353 counting only the distinct ones).

The product of its digits is 62720, while the sum is 39.

The square root of 2878752 is about 1696.6885394792. The cubic root of 2878752 is about 142.2551782713.

The spelling of 2878752 in words is "two million, eight hundred seventy-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 157 191 314 382 471 573 628 764 942 1146 1256 1528 1884 2292 2512 3056 3768 4584 5024 6112 7536 9168 15072 18336 29987 59974 89961 119948 179922 239896 359844 479792 719688 959584 1439376 2878752