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2725272 = 2333113137
BaseRepresentation
bin1010011001010110011000
312010110101000
422121112120
51144202042
6134225000
732110254
oct12312630
95113330
102725272
1115a15a0
12ab5160
137455b4
1450d264
1538c74c
hex299598

2725272 has 128 divisors (see below), whose sum is σ = 8755200. Its totient is φ = 777600.

The previous prime is 2725271. The next prime is 2725279.

It is a happy number.

2725272 is nontrivially palindromic in base 10.

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

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2725271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73638 + ... + 73674.

It is an arithmetic number, because the mean of its divisors is an integer number (68400).

22725272 is an apocalyptic number.

2725272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2725272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4377600).

2725272 is an abundant number, since it is smaller than the sum of its proper divisors (6029928).

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

2725272 is a wasteful number, since it uses less digits than its factorization.

2725272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 84 counting only the distinct ones).

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

The square root of 2725272 is about 1650.8397862906. The cubic root of 2725272 is about 139.6807692356.

The spelling of 2725272 in words is "two million, seven hundred twenty-five thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 31 33 36 37 44 54 62 66 72 74 88 93 99 108 111 124 132 148 186 198 216 222 248 264 279 296 297 333 341 372 396 407 444 558 594 666 682 744 792 814 837 888 999 1023 1116 1147 1188 1221 1332 1364 1628 1674 1998 2046 2232 2294 2376 2442 2664 2728 3069 3256 3348 3441 3663 3996 4092 4588 4884 6138 6696 6882 7326 7992 8184 9176 9207 9768 10323 10989 12276 12617 13764 14652 18414 20646 21978 24552 25234 27528 29304 30969 36828 37851 41292 43956 50468 61938 73656 75702 82584 87912 100936 113553 123876 151404 227106 247752 302808 340659 454212 681318 908424 1362636 2725272