Search a number
-
+
649670616 = 2332721071721
BaseRepresentation
bin100110101110010…
…010111111011000
31200021110200112200
4212232102333120
52312303424431
6144244410200
722046052300
oct4656227730
91607420480
10649670616
113037a4171
121616a6960
13a479a0aa
14623d6600
153c07eee6
hex26b92fd8

649670616 has 144 divisors (see below), whose sum is σ = 2067123240. Its totient is φ = 183778560.

The previous prime is 649670611. The next prime is 649670621. The reversal of 649670616 is 616076946.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (649670611) and next prime (649670621).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (649670611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 376636 + ... + 378356.

Almost surely, 2649670616 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 649670616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033561620).

649670616 is an abundant number, since it is smaller than the sum of its proper divisors (1417452624).

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

649670616 is a wasteful number, since it uses less digits than its factorization.

649670616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 649670616 is about 25488.6369976898. The cubic root of 649670616 is about 866.0927599508.

The spelling of 649670616 in words is "six hundred forty-nine million, six hundred seventy thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 107 126 147 168 196 214 252 294 321 392 428 441 504 588 642 749 856 882 963 1176 1284 1498 1721 1764 1926 2247 2568 2996 3442 3528 3852 4494 5163 5243 5992 6741 6884 7704 8988 10326 10486 12047 13482 13768 15489 15729 17976 20652 20972 24094 26964 30978 31458 36141 41304 41944 47187 48188 53928 61956 62916 72282 84329 94374 96376 108423 123912 125832 144564 168658 184147 188748 216846 252987 289128 337316 368294 377496 433692 505974 552441 674632 736588 758961 867384 1011948 1104882 1289029 1473176 1517922 1657323 2023896 2209764 2578058 3035844 3314646 3867087 4419528 5156116 6071688 6629292 7734174 9023203 10312232 11601261 13258584 15468348 18046406 23202522 27069609 30936696 36092812 46405044 54139218 72185624 81208827 92810088 108278436 162417654 216556872 324835308 649670616