Search a number
-
+
5746631604 = 223732360703
BaseRepresentation
bin1010101101000011…
…01010001110110100
3112211111022010120120
411112201222032310
543232114202404
62350122131540
7262256364000
oct52641521664
915744263516
105746631604
11248990741a
121144650bb0
1370774713c
143c72d7700
1523978a9d9
hex15686a3b4

5746631604 has 96 divisors (see below), whose sum is σ = 16317235200. Its totient is φ = 1570482144.

The previous prime is 5746631599. The next prime is 5746631609. The reversal of 5746631604 is 4061366475.

It is an interprime number because it is at equal distance from previous prime (5746631599) and next prime (5746631609).

It is a super-2 number, since 2×57466316042 = 66047549584183225632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5746631609) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64317 + ... + 125019.

It is an arithmetic number, because the mean of its divisors is an integer number (169971200).

Almost surely, 25746631604 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 5746631604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8158617600).

5746631604 is an abundant number, since it is smaller than the sum of its proper divisors (10570603596).

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

5746631604 is a wasteful number, since it uses less digits than its factorization.

5746631604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60754 (or 60738 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 5746631604 is about 75806.5406412930. The cubic root of 5746631604 is about 1791.1740374902.

The spelling of 5746631604 in words is "five billion, seven hundred forty-six million, six hundred thirty-one thousand, six hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 49 69 84 92 98 138 147 161 196 276 294 322 343 483 588 644 686 966 1029 1127 1372 1932 2058 2254 3381 4116 4508 6762 7889 13524 15778 23667 31556 47334 60703 94668 121406 182109 242812 364218 424921 728436 849842 1274763 1396169 1699684 2549526 2792338 2974447 4188507 5099052 5584676 5948894 8377014 8923341 9773183 11897788 16754028 17846682 19546366 20821129 29319549 35693364 39092732 41642258 58639098 62463387 68412281 83284516 117278196 124926774 136824562 205236843 249853548 273649124 410473686 478885967 820947372 957771934 1436657901 1915543868 2873315802 5746631604