Search a number
-
+
545899104 = 253217432593
BaseRepresentation
bin100000100010011…
…100001001100000
31102001012112210100
4200202130021200
52104222232404
6130100302400
716346031402
oct4042341140
91361175710
10545899104
11260167093
121329a1a00
1389135a2a
1452702b72
1532dd2d39
hex2089c260

545899104 has 144 divisors (see below), whose sum is σ = 1682592912. Its totient is φ = 167215104.

The previous prime is 545899069. The next prime is 545899129. The reversal of 545899104 is 401998545.

545899104 is a `hidden beast` number, since 5 + 458 + 99 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 545899104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209232 + ... + 211824.

It is an arithmetic number, because the mean of its divisors is an integer number (11684673).

Almost surely, 2545899104 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 545899104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841296456).

545899104 is an abundant number, since it is smaller than the sum of its proper divisors (1136693808).

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

545899104 is a wasteful number, since it uses less digits than its factorization.

545899104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2669 (or 2658 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 545899104 is about 23364.4838162541. The cubic root of 545899104 is about 817.2798543095.

The spelling of 545899104 in words is "five hundred forty-five million, eight hundred ninety-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 43 48 51 68 72 86 96 102 129 136 144 153 172 204 258 272 288 306 344 387 408 516 544 612 688 731 774 816 1032 1224 1376 1462 1548 1632 2064 2193 2448 2593 2924 3096 4128 4386 4896 5186 5848 6192 6579 7779 8772 10372 11696 12384 13158 15558 17544 20744 23337 23392 26316 31116 35088 41488 44081 46674 52632 62232 70176 82976 88162 93348 105264 111499 124464 132243 176324 186696 210528 222998 248928 264486 334497 352648 373392 396729 445996 528972 668994 705296 746784 793458 891992 1003491 1057944 1337988 1410592 1586916 1783984 1895483 2006982 2115888 2675976 3173832 3567968 3790966 4013964 4231776 5351952 5686449 6347664 7581932 8027928 10703904 11372898 12695328 15163864 16055856 17059347 22745796 30327728 32111712 34118694 45491592 60655456 68237388 90983184 136474776 181966368 272949552 545899104