Search a number
-
+
5797736028 = 223572929383
BaseRepresentation
bin1010110011001001…
…00110111001011100
3112222001110111200000
411121210212321130
543333210023103
62355145334300
7263446641330
oct53144467134
915861414600
105797736028
112505741987
121159797390
137151cb146
143cdddb7c0
1523ded2aa3
hex159926e5c

5797736028 has 144 divisors (see below), whose sum is σ = 17968903680. Its totient is φ = 1599321024.

The previous prime is 5797736023. The next prime is 5797736029. The reversal of 5797736028 is 8206377975.

5797736028 is a `hidden beast` number, since 579 + 7 + 7 + 3 + 60 + 2 + 8 = 666.

It is a super-2 number, since 2×57977360282 = 67227486100738433568, which contains 22 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 (5797736023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182625 + ... + 212007.

Almost surely, 25797736028 is an apocalyptic number.

5797736028 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5797736028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8984451840).

5797736028 is an abundant number, since it is smaller than the sum of its proper divisors (12171167652).

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

5797736028 is a wasteful number, since it uses less digits than its factorization.

5797736028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29438 (or 29424 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The square root of 5797736028 is about 76142.8659035106. The cubic root of 5797736028 is about 1796.4679738617.

The spelling of 5797736028 in words is "five billion, seven hundred ninety-seven million, seven hundred thirty-six thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 29 36 42 54 58 63 81 84 87 108 116 126 162 174 189 203 243 252 261 324 348 378 406 486 522 567 609 756 783 812 972 1044 1134 1218 1566 1701 1827 2268 2349 2436 3132 3402 3654 4698 5481 6804 7047 7308 9396 10962 14094 16443 21924 28188 29383 32886 49329 58766 65772 88149 98658 117532 176298 197316 205681 264447 352596 411362 528894 617043 793341 822724 852107 1057788 1234086 1586682 1704214 1851129 2380023 2468172 2556321 3173364 3408428 3702258 4760046 5112642 5553387 5964749 7140069 7404516 7668963 9520092 10225284 11106774 11929498 14280138 15337926 16660161 17894247 22213548 23006889 23858996 28560276 30675852 33320322 35788494 46013778 49980483 53682741 66640644 69020667 71576988 92027556 99960966 107365482 138041334 161048223 199921932 207062001 214730964 276082668 322096446 414124002 483144669 644192892 828248004 966289338 1449434007 1932578676 2898868014 5797736028