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1125276288 = 27323432963
BaseRepresentation
bin100001100010010…
…0101101010000000
32220102101221212120
41003010211222000
54301032320123
6303354324240
736612455613
oct10304455200
92812357776
101125276288
11528209804
12274a29680
1314c190876
14a963c17a
1568bca2e3
hex43125a80

1125276288 has 128 divisors (see below), whose sum is σ = 3192583680. Its totient is φ = 350321664.

The previous prime is 1125276277. The next prime is 1125276289. The reversal of 1125276288 is 8826725211.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (1125276289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 378295 + ... + 381257.

It is an arithmetic number, because the mean of its divisors is an integer number (24942060).

Almost surely, 21125276288 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 1125276288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596291840).

1125276288 is an abundant number, since it is smaller than the sum of its proper divisors (2067307392).

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

1125276288 is a wasteful number, since it uses less digits than its factorization.

1125276288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3046 (or 3034 counting only the distinct ones).

The product of its digits is 107520, while the sum is 42.

The square root of 1125276288 is about 33545.1380679824. The cubic root of 1125276288 is about 1040.1270456236.

The spelling of 1125276288 in words is "one billion, one hundred twenty-five million, two hundred seventy-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 43 46 48 64 69 86 92 96 128 129 138 172 184 192 258 276 344 368 384 516 552 688 736 989 1032 1104 1376 1472 1978 2064 2208 2752 2944 2963 2967 3956 4128 4416 5504 5926 5934 7912 8256 8832 8889 11852 11868 15824 16512 17778 23704 23736 31648 35556 47408 47472 63296 68149 71112 94816 94944 126592 127409 136298 142224 189632 189888 204447 254818 272596 284448 379264 379776 382227 408894 509636 545192 568896 764454 817788 1019272 1090384 1137792 1528908 1635576 2038544 2180768 2930407 3057816 3271152 4077088 4361536 5860814 6115632 6542304 8154176 8723072 8791221 11721628 12231264 13084608 16308352 17582442 23443256 24462528 26169216 35164884 46886512 48925056 70329768 93773024 140659536 187546048 281319072 375092096 562638144 1125276288