Search a number
-
+
649539648 = 26341071171
BaseRepresentation
bin100110101101110…
…011000001000000
31200021020000220000
4212231303001000
52312240232043
6144241520000
722044665412
oct4655630100
91607200800
10649539648
1130371482a
12161643000
13a47525b4
14623a09b2
153c0562d3
hex26b73040

649539648 has 140 divisors (see below), whose sum is σ = 1945093392. Its totient is φ = 214306560.

The previous prime is 649539641. The next prime is 649539679. The reversal of 649539648 is 846935946.

649539648 is a `hidden beast` number, since 6 + 49 + 539 + 64 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 649539594 and 649539603.

It is not an unprimeable number, because it can be changed into a prime (649539641) 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, 554103 + ... + 555273.

Almost surely, 2649539648 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 649539648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972546696).

649539648 is an abundant number, since it is smaller than the sum of its proper divisors (1295553744).

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

649539648 is a wasteful number, since it uses less digits than its factorization.

649539648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 1283 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 649539648 is about 25486.0677233660. The cubic root of 649539648 is about 866.0345570929.

The spelling of 649539648 in words is "six hundred forty-nine million, five hundred thirty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 107 108 144 162 192 214 216 288 321 324 428 432 576 642 648 856 864 963 1171 1284 1296 1712 1728 1926 2342 2568 2592 2889 3424 3513 3852 4684 5136 5184 5778 6848 7026 7704 8667 9368 10272 10539 11556 14052 15408 17334 18736 20544 21078 23112 28104 30816 31617 34668 37472 42156 46224 56208 61632 63234 69336 74944 84312 92448 94851 112416 125297 126468 138672 168624 184896 189702 224832 250594 252936 277344 337248 375891 379404 501188 505872 554688 674496 751782 758808 1002376 1011744 1127673 1503564 1517616 2004752 2023488 2255346 3007128 3035232 3383019 4009504 4510692 6014256 6070464 6766038 8019008 9021384 10149057 12028512 13532076 18042768 20298114 24057024 27064152 36085536 40596228 54128304 72171072 81192456 108256608 162384912 216513216 324769824 649539648