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12773152 = 257127449
BaseRepresentation
bin110000101110…
…011100100000
3220000221110201
4300232130200
511232220102
61133434544
7213366340
oct60563440
926027421
1012773152
117234727
12433ba54
132852ba2
1419a6d20
1511c4987
hexc2e720

12773152 has 48 divisors (see below), whose sum is σ = 29030400. Its totient is φ = 5419008.

The previous prime is 12773129. The next prime is 12773161. The reversal of 12773152 is 25137721.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 12773152.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28224 + ... + 28672.

It is an arithmetic number, because the mean of its divisors is an integer number (604800).

Almost surely, 212773152 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 12773152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14515200).

12773152 is an abundant number, since it is smaller than the sum of its proper divisors (16257248).

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

12773152 is a wasteful number, since it uses less digits than its factorization.

12773152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 585 counting only the distinct ones).

The product of its digits is 2940, while the sum is 28.

The square root of 12773152 is about 3573.9546723483. The cubic root of 12773152 is about 233.7577545160.

It can be divided in two parts, 127 and 73152, that multiplied together give a square (9290304 = 30482).

The spelling of 12773152 in words is "twelve million, seven hundred seventy-three thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 127 224 254 449 508 889 898 1016 1778 1796 2032 3143 3556 3592 4064 6286 7112 7184 12572 14224 14368 25144 28448 50288 57023 100576 114046 228092 399161 456184 798322 912368 1596644 1824736 3193288 6386576 12773152