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389549088 = 25341371097
BaseRepresentation
bin10111001110000…
…000110000100000
31000011000010220000
4113032000300200
51244211032323
6102353220000
712440053425
oct2716006040
91004003800
10389549088
1118a987aa5
12aa561600
1362922726
1439a43d4c
15242ebe43
hex17380c20

389549088 has 120 divisors (see below), whose sum is σ = 1155067452. Its totient is φ = 128784384.

The previous prime is 389549087. The next prime is 389549119. The reversal of 389549088 is 880945983.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 387774864 + 1774224 = 19692^2 + 1332^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (389549087) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 354556 + ... + 355652.

Almost surely, 2389549088 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 389549088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577533726).

389549088 is an abundant number, since it is smaller than the sum of its proper divisors (765518364).

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

389549088 is a wasteful number, since it uses less digits than its factorization.

389549088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 389549088 is about 19736.9979480163. The cubic root of 389549088 is about 730.3326737923.

The spelling of 389549088 in words is "three hundred eighty-nine million, five hundred forty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 137 144 162 216 274 288 324 411 432 548 648 822 864 1096 1097 1233 1296 1644 2192 2194 2466 2592 3288 3291 3699 4384 4388 4932 6576 6582 7398 8776 9864 9873 11097 13152 13164 14796 17552 19728 19746 22194 26328 29592 29619 35104 39456 39492 44388 52656 59184 59238 78984 88776 88857 105312 118368 118476 150289 157968 177552 177714 236952 300578 315936 355104 355428 450867 473904 601156 710856 901734 947808 1202312 1352601 1421712 1803468 2404624 2705202 2843424 3606936 4057803 4809248 5410404 7213872 8115606 10820808 12173409 14427744 16231212 21641616 24346818 32462424 43283232 48693636 64924848 97387272 129849696 194774544 389549088