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2755152 = 243219253
BaseRepresentation
bin1010100000101001010000
312011222100200
422200221100
51201131102
6135015200
732263341
oct12405120
95158320
102755152
111611a94
12b0a500
1375608a
1451a0c8
1539651c
hex2a0a50

2755152 has 90 divisors (see below), whose sum is σ = 8291322. Its totient is φ = 853632.

The previous prime is 2755141. The next prime is 2755153. The reversal of 2755152 is 2515572.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2547216 + 207936 = 1596^2 + 456^2 .

It is an Ulam number.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2755153) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 51958 + ... + 52010.

22755152 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 2755152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4145661).

2755152 is an abundant number, since it is smaller than the sum of its proper divisors (5536170).

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

2755152 is a wasteful number, since it uses less digits than its factorization.

2755152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 77 counting only the distinct ones).

The product of its digits is 3500, while the sum is 27.

The square root of 2755152 is about 1659.8650547560. The cubic root of 2755152 is about 140.1894035078.

The spelling of 2755152 in words is "two million, seven hundred fifty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 53 57 72 76 106 114 144 152 159 171 212 228 304 318 342 361 424 456 477 636 684 722 848 912 954 1007 1083 1272 1368 1444 1908 2014 2166 2544 2736 2888 3021 3249 3816 4028 4332 5776 6042 6498 7632 8056 8664 9063 12084 12996 16112 17328 18126 19133 24168 25992 36252 38266 48336 51984 57399 72504 76532 114798 145008 153064 172197 229596 306128 344394 459192 688788 918384 1377576 2755152