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1388041088 = 27737149281
BaseRepresentation
bin101001010111011…
…1101001110000000
310120201211210102012
41102232331032000
510320314303323
6345422312052
746253104010
oct12256751600
93521753365
101388041088
116525708a5
12328a28628
131917523b5
14d24bbc40
1581cd1678
hex52bbd380

1388041088 has 128 divisors (see below), whose sum is σ = 3279096000. Its totient is φ = 572866560.

The previous prime is 1388041087. The next prime is 1388041091. The reversal of 1388041088 is 8801408831.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1388041087) 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, 4939508 + ... + 4939788.

Almost surely, 21388041088 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 1388041088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639548000).

1388041088 is an abundant number, since it is smaller than the sum of its proper divisors (1891054912).

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

1388041088 is a wasteful number, since it uses less digits than its factorization.

1388041088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 41.

The square root of 1388041088 is about 37256.4234461656. The cubic root of 1388041088 is about 1115.4945189226.

The spelling of 1388041088 in words is "one billion, three hundred eighty-eight million, forty-one thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 128 148 149 224 259 281 296 298 448 518 562 592 596 896 1036 1043 1124 1184 1192 1967 2072 2086 2248 2368 2384 3934 4144 4172 4496 4736 4768 5513 7868 8288 8344 8992 9536 10397 11026 15736 16576 16688 17984 19072 20794 22052 31472 33152 33376 35968 38591 41588 41869 44104 62944 66752 72779 77182 83176 83738 88208 125888 133504 145558 154364 166352 167476 176416 251776 291116 293083 308728 332704 334952 352832 582232 586166 617456 665408 669904 705664 1164464 1172332 1234912 1330816 1339808 1549153 2328928 2344664 2469824 2679616 3098306 4657856 4689328 4939648 5359232 6196612 9315712 9378656 10844071 12393224 18757312 21688142 24786448 37514624 43376284 49572896 86752568 99145792 173505136 198291584 347010272 694020544 1388041088