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388073088 = 27321325913
BaseRepresentation
bin10111001000011…
…000011010000000
31000001020011012100
4113020120122000
51243321314323
6102301430400
712421365264
oct2710303200
91001204170
10388073088
1118a06a067
12a9b6b400
1362526960
143977c0a4
1524109943
hex17218680

388073088 has 96 divisors (see below), whose sum is σ = 1202668740. Its totient is φ = 119402496.

The previous prime is 388073053. The next prime is 388073107. The reversal of 388073088 is 880370883.

It can be written as a sum of positive squares in 2 ways, for example, as 380718144 + 7354944 = 19512^2 + 2712^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2020 + ... + 27932.

Almost surely, 2388073088 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 388073088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601334370).

388073088 is an abundant number, since it is smaller than the sum of its proper divisors (814595652).

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

388073088 is a wasteful number, since it uses less digits than its factorization.

388073088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25946 (or 25931 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 388073088 is about 19699.5707567449. The cubic root of 388073088 is about 729.4090970991.

The spelling of 388073088 in words is "three hundred eighty-eight million, seventy-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3744 4992 7488 14976 25913 51826 77739 103652 155478 207304 233217 310956 336869 414608 466434 621912 673738 829216 932868 1010607 1243824 1347476 1658432 1865736 2021214 2487648 2694952 3031821 3316864 3731472 4042428 4975296 5389904 6063642 7462944 8084856 9950592 10779808 12127284 14925888 16169712 21559616 24254568 29851776 32339424 43119232 48509136 64678848 97018272 129357696 194036544 388073088