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649391148 = 223374311993
BaseRepresentation
bin100110101101001…
…110110000101100
31200020221111012000
4212231032300230
52312221004043
6144234412300
722043506440
oct4655166054
91606844160
10649391148
113036231aa
12161591090
13a46ccb23
1462362820
153c0272d3
hex26b4ec2c

649391148 has 96 divisors (see below), whose sum is σ = 1929553920. Its totient is φ = 185016960.

The previous prime is 649391123. The next prime is 649391161. The reversal of 649391148 is 841193946.

649391148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 324840 + ... + 326832.

It is an arithmetic number, because the mean of its divisors is an integer number (20099520).

Almost surely, 2649391148 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 649391148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964776960).

649391148 is an abundant number, since it is smaller than the sum of its proper divisors (1280162772).

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

649391148 is a wasteful number, since it uses less digits than its factorization.

649391148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444 (or 2436 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 649391148 is about 25483.1542003732. The cubic root of 649391148 is about 865.9685534578.

The spelling of 649391148 in words is "six hundred forty-nine million, three hundred ninety-one thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 431 756 862 1293 1724 1993 2586 3017 3879 3986 5172 5979 6034 7758 7972 9051 11637 11958 12068 13951 15516 17937 18102 23274 23916 27153 27902 35874 36204 41853 46548 53811 54306 55804 71748 81459 83706 107622 108612 125559 162918 167412 215244 251118 325836 376677 502236 753354 858983 1506708 1717966 2576949 3435932 5153898 6012881 7730847 10307796 12025762 15461694 18038643 23192541 24051524 30923388 36077286 46385082 54115929 72154572 92770164 108231858 162347787 216463716 324695574 649391148