Search a number
-
+
649798632 = 233371922619
BaseRepresentation
bin100110101110110…
…010001111101000
31200021201012011000
4212232302033220
52312322024012
6144251235000
722050124440
oct4656621750
91607635130
10649798632
1130388136a
12161748a60
13a4813442
146242b120
153c0a7ddc
hex26bb23e8

649798632 has 128 divisors (see below), whose sum is σ = 2171520000. Its totient is φ = 175877568.

The previous prime is 649798607. The next prime is 649798649. The reversal of 649798632 is 236897946.

It is a happy number.

649798632 is a `hidden beast` number, since 6 + 497 + 98 + 63 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17419 + ... + 40037.

It is an arithmetic number, because the mean of its divisors is an integer number (16965000).

Almost surely, 2649798632 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 649798632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085760000).

649798632 is an abundant number, since it is smaller than the sum of its proper divisors (1521721368).

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

649798632 is a wasteful number, since it uses less digits than its factorization.

649798632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22660 (or 22650 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 649798632 is about 25491.1481106677. The cubic root of 649798632 is about 866.1496433654.

The spelling of 649798632 in words is "six hundred forty-nine million, seven hundred ninety-eight thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 36 38 42 54 56 57 63 72 76 84 108 114 126 133 152 168 171 189 216 228 252 266 342 378 399 456 504 513 532 684 756 798 1026 1064 1197 1368 1512 1596 2052 2394 3192 3591 4104 4788 7182 9576 14364 22619 28728 45238 67857 90476 135714 158333 180952 203571 271428 316666 407142 429761 474999 542856 610713 633332 814284 859522 949998 1221426 1266664 1289283 1424997 1628568 1719044 1899996 2442852 2578566 2849994 3008327 3438088 3799992 3867849 4274991 4885704 5157132 5699988 6016654 7735698 8549982 9024981 10314264 11399976 11603547 12033308 15471396 17099964 18049962 23207094 24066616 27074943 30942792 34199928 36099924 46414188 54149886 72199848 81224829 92828376 108299772 162449658 216599544 324899316 649798632