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4828102416 = 243353433487
BaseRepresentation
bin1000111111100011…
…01111111100010000
3110110110221000102000
410133301233330100
534341443234131
62115030554000
7230434123224
oct43761577420
913413830360
104828102416
112058379895
12b28b08900
135bc363947
1433b316784
151d3cedce6
hex11fc6ff10

4828102416 has 160 divisors (see below), whose sum is σ = 14181592320. Its totient is φ = 1572120576.

The previous prime is 4828102387. The next prime is 4828102423. The reversal of 4828102416 is 6142018284.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 9913725 + ... + 9914211.

It is an arithmetic number, because the mean of its divisors is an integer number (88634952).

Almost surely, 24828102416 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 4828102416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7090796160).

4828102416 is an abundant number, since it is smaller than the sum of its proper divisors (9353489904).

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

4828102416 is a wasteful number, since it uses less digits than its factorization.

4828102416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 4828102416 is about 69484.5480376753. The cubic root of 4828102416 is about 1690.1509401500.

The spelling of 4828102416 in words is "four billion, eight hundred twenty-eight million, one hundred two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 106 108 144 159 212 216 318 424 432 433 477 487 636 848 866 954 974 1272 1299 1431 1461 1732 1908 1948 2544 2598 2862 2922 3464 3816 3896 3897 4383 5196 5724 5844 6928 7632 7792 7794 8766 10392 11448 11688 11691 13149 15588 17532 20784 22896 22949 23376 23382 25811 26298 31176 35064 45898 46764 51622 52596 62352 68847 70128 77433 91796 93528 103244 105192 137694 154866 183592 187056 206488 206541 210384 210871 232299 275388 309732 367184 412976 413082 421742 464598 550776 619464 619623 632613 696897 826164 843484 929196 1101552 1238928 1239246 1265226 1393794 1652328 1686968 1858392 1897839 2478492 2530452 2787588 3304656 3373936 3716784 3795678 4956984 5060904 5575176 5693517 7591356 9913968 10121808 11150352 11176163 11387034 15182712 22352326 22774068 30365424 33528489 44704652 45548136 67056978 89409304 91096272 100585467 134113956 178818608 201170934 268227912 301756401 402341868 536455824 603512802 804683736 1207025604 1609367472 2414051208 4828102416