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649941516 = 22337978863
BaseRepresentation
bin100110101111010…
…101001000001100
31200021222110011000
4212233111020030
52312341112031
6144254300300
722051261140
oct4657251014
91607873130
10649941516
11303969754
121617b7690
13a48634a3
1462467220
153c0d53e6
hex26bd520c

649941516 has 96 divisors (see below), whose sum is σ = 1945825280. Its totient is φ = 183762432.

The previous prime is 649941437. The next prime is 649941529. The reversal of 649941516 is 615149946.

It is a happy number.

649941516 is a `hidden beast` number, since 6 + 4 + 99 + 41 + 516 = 666.

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, 68901 + ... + 77763.

Almost surely, 2649941516 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 649941516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972912640).

649941516 is an abundant number, since it is smaller than the sum of its proper divisors (1295883764).

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

649941516 is a wasteful number, since it uses less digits than its factorization.

649941516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8980 (or 8972 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 649941516 is about 25493.9505765584. The cubic root of 649941516 is about 866.2131244961.

The spelling of 649941516 in words is "six hundred forty-nine million, nine hundred forty-one thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 97 108 126 189 194 252 291 378 388 582 679 756 873 1164 1358 1746 2037 2619 2716 3492 4074 5238 6111 8148 8863 10476 12222 17726 18333 24444 26589 35452 36666 53178 62041 73332 79767 106356 124082 159534 186123 239301 248164 319068 372246 478602 558369 744492 859711 957204 1116738 1675107 1719422 2233476 2579133 3350214 3438844 5158266 6017977 6700428 7737399 10316532 12035954 15474798 18053931 23212197 24071908 30949596 36107862 46424394 54161793 72215724 92848788 108323586 162485379 216647172 324970758 649941516