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1138277248 = 2789163613
BaseRepresentation
bin100001111011000…
…1011101110000000
32221022212110211121
41003312023232000
54312344332443
6304541122024
740131124363
oct10366135600
92838773747
101138277248
115345895a9
12279259314
13151a93344
14ab2640da
1569de74ed
hex43d8bb80

1138277248 has 64 divisors (see below), whose sum is σ = 2310973200. Its totient is φ = 558379008.

The previous prime is 1138277233. The next prime is 1138277303. The reversal of 1138277248 is 8427728311.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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, 1856590 + ... + 1857202.

Almost surely, 21138277248 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 1138277248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155486600).

1138277248 is an abundant number, since it is smaller than the sum of its proper divisors (1172695952).

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

1138277248 is an equidigital number, since it uses as much as digits as its factorization.

1138277248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 867 counting only the distinct ones).

The product of its digits is 150528, while the sum is 43.

The square root of 1138277248 is about 33738.3646313807. The cubic root of 1138277248 is about 1044.1174444488.

The spelling of 1138277248 in words is "one billion, one hundred thirty-eight million, two hundred seventy-seven thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 89 128 163 178 326 356 613 652 712 1226 1304 1424 2452 2608 2848 4904 5216 5696 9808 10432 11392 14507 19616 20864 29014 39232 54557 58028 78464 99919 109114 116056 199838 218228 232112 399676 436456 464224 799352 872912 928448 1598704 1745824 1856896 3197408 3491648 6394816 6983296 8892791 12789632 17785582 35571164 71142328 142284656 284569312 569138624 1138277248