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5385764088 = 2333231975503
BaseRepresentation
bin1010000010000010…
…00011110011111000
3111220100021011102000
411001001003303320
542012223422323
62250231341000
7250315145055
oct50101036370
914810234360
105385764088
11231413a301
121063821760
1367aa57573
143913dc02c
15217c56e43
hex141043cf8

5385764088 has 128 divisors (see below), whose sum is σ = 15693004800. Its totient is φ = 1708172928.

The previous prime is 5385764081. The next prime is 5385764099. The reversal of 5385764088 is 8804675835.

It is a super-3 number, since 3×53857640883 (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5385764081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 975945 + ... + 981447.

It is an arithmetic number, because the mean of its divisors is an integer number (122601600).

Almost surely, 25385764088 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 5385764088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7846502400).

5385764088 is an abundant number, since it is smaller than the sum of its proper divisors (10307240712).

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

5385764088 is a wasteful number, since it uses less digits than its factorization.

5385764088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5738 (or 5728 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The square root of 5385764088 is about 73387.7652473490. The cubic root of 5385764088 is about 1752.8675802539.

The spelling of 5385764088 in words is "five billion, three hundred eighty-five million, seven hundred sixty-four thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 197 207 216 276 394 414 552 591 621 788 828 1182 1242 1576 1656 1773 2364 2484 3546 4531 4728 4968 5319 5503 7092 9062 10638 11006 13593 14184 16509 18124 21276 22012 27186 33018 36248 40779 42552 44024 49527 54372 66036 81558 99054 108744 122337 126569 132072 148581 163116 198108 244674 253138 297162 326232 379707 396216 489348 506276 594324 759414 978696 1012552 1084091 1139121 1188648 1518828 2168182 2278242 3037656 3252273 3417363 4336364 4556484 6504546 6834726 8672728 9112968 9756819 13009092 13669452 19513638 24934093 26018184 27338904 29270457 39027276 49868186 58540914 74802279 78054552 99736372 117081828 149604558 199472744 224406837 234163656 299209116 448813674 598418232 673220511 897627348 1346441022 1795254696 2692882044 5385764088