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4149924720 = 243517291353
BaseRepresentation
bin1111011101011010…
…1101001101110000
3101201012211000111120
43313112231031300
531444340042340
61523443142240
7204560530614
oct36726551560
911635730446
104149924720
11183a584957
12979974980
135119c5276
142b521d344
151944dc4d0
hexf75ad370

4149924720 has 40 divisors (see below), whose sum is σ = 12864767376. Its totient is φ = 1106646528.

The previous prime is 4149924703. The next prime is 4149924739. The reversal of 4149924720 is 274299414.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8645437 + ... + 8645916.

Almost surely, 24149924720 is an apocalyptic number.

4149924720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4149924720 is an abundant number, since it is smaller than the sum of its proper divisors (8714842656).

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

4149924720 is a wasteful number, since it uses less digits than its factorization.

4149924720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17291369 (or 17291363 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 4149924720 is about 64419.9093448601. The cubic root of 4149924720 is about 1606.9908583670.

The spelling of 4149924720 in words is "four billion, one hundred forty-nine million, nine hundred twenty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 17291353 34582706 51874059 69165412 86456765 103748118 138330824 172913530 207496236 259370295 276661648 345827060 414992472 518740590 691654120 829984944 1037481180 1383308240 2074962360 4149924720