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4900189248 = 263279107687
BaseRepresentation
bin1001001000001001…
…01111010001000000
3110122111120101221200
410210010233101000
540013422023443
62130124021200
7232300631013
oct44404572100
913574511850
104900189248
112095035789
12b49091800
13601283286
14346b1d37a
151da2dcdd3
hex12412f440

4900189248 has 84 divisors (see below), whose sum is σ = 14223431040. Its totient is φ = 1612705536.

The previous prime is 4900189237. The next prime is 4900189249. The reversal of 4900189248 is 8429810094.

It is not an unprimeable number, because it can be changed into a prime (4900189249) 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 11 ways as a sum of consecutive naturals, for example, 8340 + ... + 99347.

It is an arithmetic number, because the mean of its divisors is an integer number (169326560).

Almost surely, 24900189248 is an apocalyptic number.

4900189248 is a gapful number since it is divisible by the number (48) 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 4900189248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7111715520).

4900189248 is an abundant number, since it is smaller than the sum of its proper divisors (9323241792).

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

4900189248 is a wasteful number, since it uses less digits than its factorization.

4900189248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107784 (or 107771 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 4900189248 is about 70001.3517583768. The cubic root of 4900189248 is about 1698.5211184628.

The spelling of 4900189248 in words is "four billion, nine hundred million, one hundred eighty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 79 96 144 158 192 237 288 316 474 576 632 711 948 1264 1422 1896 2528 2844 3792 5056 5688 7584 11376 15168 22752 45504 107687 215374 323061 430748 646122 861496 969183 1292244 1722992 1938366 2584488 3445984 3876732 5168976 6891968 7753464 8507273 10337952 15506928 17014546 20675904 25521819 31013856 34029092 51043638 62027712 68058184 76565457 102087276 136116368 153130914 204174552 272232736 306261828 408349104 544465472 612523656 816698208 1225047312 1633396416 2450094624 4900189248