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2752272 = 243323277
BaseRepresentation
bin1010011111111100010000
312011211102000
422133330100
51201033042
6134554000
732252055
oct12377420
95154360
102752272
11160a906
12b08900
13754983
1451902c
1539574c
hex29ff10

2752272 has 80 divisors (see below), whose sum is σ = 8273280. Its totient is φ = 874368.

The previous prime is 2752271. The next prime is 2752307. The reversal of 2752272 is 2722572.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2752271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9798 + ... + 10074.

It is an arithmetic number, because the mean of its divisors is an integer number (103416).

22752272 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 2752272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4136640).

2752272 is an abundant number, since it is smaller than the sum of its proper divisors (5521008).

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

2752272 is a wasteful number, since it uses less digits than its factorization.

2752272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 305 counting only the distinct ones).

The product of its digits is 3920, while the sum is 27.

The square root of 2752272 is about 1658.9972875204. The cubic root of 2752272 is about 140.1405391445.

It can be divided in two parts, 27 and 52272, that multiplied together give a square (1411344 = 11882).

The spelling of 2752272 in words is "two million, seven hundred fifty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 277 368 414 432 552 554 621 828 831 1104 1108 1242 1656 1662 2216 2484 2493 3312 3324 4432 4968 4986 6371 6648 7479 9936 9972 12742 13296 14958 19113 19944 25484 29916 38226 39888 50968 57339 59832 76452 101936 114678 119664 152904 172017 229356 305808 344034 458712 688068 917424 1376136 2752272