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12749312 = 2937673
BaseRepresentation
bin110000101000…
…101000000000
3212222201202202
4300220220000
511230434222
61133132332
7213240002
oct60505000
925881682
1012749312
117218824
12432a0a8
132845094
14199c372
1511bc892
hexc28a00

12749312 has 40 divisors (see below), whose sum is σ = 26201076. Its totient is φ = 6193152.

The previous prime is 12749311. The next prime is 12749327. The reversal of 12749312 is 21394721.

It can be written as a sum of positive squares in 2 ways, for example, as 12503296 + 246016 = 3536^2 + 496^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12749311) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18608 + ... + 19280.

Almost surely, 212749312 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 12749312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13100538).

12749312 is an abundant number, since it is smaller than the sum of its proper divisors (13451764).

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

12749312 is an frugal number, since it uses more digits than its factorization.

12749312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 712 counting only the distinct ones).

The product of its digits is 3024, while the sum is 29.

The square root of 12749312 is about 3570.6178737020. The cubic root of 12749312 is about 233.6122343001.

The spelling of 12749312 in words is "twelve million, seven hundred forty-nine thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 512 592 673 1184 1346 2368 2692 4736 5384 9472 10768 18944 21536 24901 43072 49802 86144 99604 172288 199208 344576 398416 796832 1593664 3187328 6374656 12749312