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2772328 = 2313192361
BaseRepresentation
bin1010100100110101101000
312012211220211
422210311220
51202203303
6135230504
732364406
oct12446550
95184824
102772328
111623989
12b18434
13760b40
14522476
1539b66d
hex2a4d68

2772328 has 64 divisors (see below), whose sum is σ = 6249600. Its totient is φ = 1140480.

The previous prime is 2772317. The next prime is 2772331. The reversal of 2772328 is 8232772.

It is a self number, because there is not a number n which added to its sum of digits gives 2772328.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45418 + ... + 45478.

It is an arithmetic number, because the mean of its divisors is an integer number (97650).

22772328 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 2772328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3124800).

2772328 is an abundant number, since it is smaller than the sum of its proper divisors (3477272).

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

2772328 is a wasteful number, since it uses less digits than its factorization.

2772328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 118 counting only the distinct ones).

The product of its digits is 9408, while the sum is 31.

The square root of 2772328 is about 1665.0309306436. The cubic root of 2772328 is about 140.4801202860.

The spelling of 2772328 in words is "two million, seven hundred seventy-two thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 19 23 26 38 46 52 61 76 92 104 122 152 184 244 247 299 437 488 494 598 793 874 988 1159 1196 1403 1586 1748 1976 2318 2392 2806 3172 3496 4636 5612 5681 6344 9272 11224 11362 15067 18239 22724 26657 30134 36478 45448 53314 60268 72956 106628 120536 145912 213256 346541 693082 1386164 2772328