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1649421960 = 233531214303
BaseRepresentation
bin110001001010000…
…0010111010001000
311020221200022120020
41202110002322020
511334223000320
6431400500440
755605566244
oct14224027210
94227608506
101649421960
1177706814a
123a047a720
1320394b034
141190bb424
1599c12940
hex62502e88

1649421960 has 96 divisors (see below), whose sum is σ = 5113393920. Its totient is φ = 425627520.

The previous prime is 1649421937. The next prime is 1649421967. The reversal of 1649421960 is 691249461.

It is not an unprimeable number, because it can be changed into a prime (1649421967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108169 + ... + 122471.

It is an arithmetic number, because the mean of its divisors is an integer number (53264520).

Almost surely, 21649421960 is an apocalyptic number.

1649421960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1649421960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2556696960).

1649421960 is an abundant number, since it is smaller than the sum of its proper divisors (3463971960).

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

1649421960 is a wasteful number, since it uses less digits than its factorization.

1649421960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14379 (or 14344 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 1649421960 is about 40613.0762193656. The cubic root of 1649421960 is about 1181.5277444373.

The spelling of 1649421960 in words is "one billion, six hundred forty-nine million, four hundred twenty-one thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 961 1240 1860 1922 2883 3720 3844 4805 5766 7688 9610 11532 14303 14415 19220 23064 28606 28830 38440 42909 57212 57660 71515 85818 114424 115320 143030 171636 214545 286060 343272 429090 443393 572120 858180 886786 1330179 1716360 1773572 2216965 2660358 3547144 4433930 5320716 6650895 8867860 10641432 13301790 13745183 17735720 26603580 27490366 41235549 53207160 54980732 68725915 82471098 109961464 137451830 164942196 206177745 274903660 329884392 412355490 549807320 824710980 1649421960