Search a number
-
+
12295248 = 2437233743
BaseRepresentation
bin101110111001…
…110001010000
3212010122220120
4232321301100
511121421443
61115310240
7206336130
oct56716120
925118816
1012295248
116a38669
12414b380
1327164c4
1418c0ac0
15112d083
hexbb9c50

12295248 has 160 divisors (see below), whose sum is σ = 39806976. Its totient is φ = 3193344.

The previous prime is 12295229. The next prime is 12295249. The reversal of 12295248 is 84259221.

12295248 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12295249) 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, 285915 + ... + 285957.

Almost surely, 212295248 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 12295248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19903488).

12295248 is an abundant number, since it is smaller than the sum of its proper divisors (27511728).

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

12295248 is a wasteful number, since it uses less digits than its factorization.

12295248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 115 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 12295248 is about 3506.4580419563. The cubic root of 12295248 is about 230.8052930993.

The spelling of 12295248 in words is "twelve million, two hundred ninety-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 37 42 43 46 48 56 69 74 84 86 92 111 112 129 138 148 161 168 172 184 222 258 259 276 296 301 322 336 344 368 444 483 516 518 552 592 602 644 688 777 851 888 903 966 989 1032 1036 1104 1204 1288 1554 1591 1702 1776 1806 1932 1978 2064 2072 2408 2553 2576 2967 3108 3182 3404 3612 3864 3956 4144 4773 4816 5106 5934 5957 6216 6364 6808 6923 7224 7728 7912 9546 10212 11137 11868 11914 12432 12728 13616 13846 14448 15824 17871 19092 20424 20769 22274 23736 23828 25456 27692 33411 35742 36593 38184 40848 41538 44548 47472 47656 55384 66822 71484 73186 76368 83076 89096 95312 109779 110768 133644 142968 146372 166152 178192 219558 256151 267288 285936 292744 332304 439116 512302 534576 585488 768453 878232 1024604 1536906 1756464 2049208 3073812 4098416 6147624 12295248