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4948182680 = 2357222311321
BaseRepresentation
bin1001001101110111…
…10100011010011000
3110202211212201120012
410212323310122120
540113213321210
62135000421052
7233422600400
oct44673643230
913684781505
104948182680
11210a135981
12b61177788
1360b1b825c
1434d253800
151de61d305
hex126ef4698

4948182680 has 96 divisors (see below), whose sum is σ = 13010336640. Its totient is φ = 1688762880.

The previous prime is 4948182641. The next prime is 4948182683. The reversal of 4948182680 is 862818494.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4948182683) 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 23 ways as a sum of consecutive naturals, for example, 431420 + ... + 442740.

It is an arithmetic number, because the mean of its divisors is an integer number (135524340).

Almost surely, 24948182680 is an apocalyptic number.

4948182680 is a gapful number since it is divisible by the number (40) 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 4948182680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6505168320).

4948182680 is an abundant number, since it is smaller than the sum of its proper divisors (8062153960).

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

4948182680 is a wasteful number, since it uses less digits than its factorization.

4948182680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11569 (or 11558 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 50.

The square root of 4948182680 is about 70343.3200808719. The cubic root of 4948182680 is about 1704.0483310074.

The spelling of 4948182680 in words is "four billion, nine hundred forty-eight million, one hundred eighty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 223 245 280 392 446 490 892 980 1115 1561 1784 1960 2230 3122 4460 6244 7805 8920 10927 11321 12488 15610 21854 22642 31220 43708 45284 54635 56605 62440 79247 87416 90568 109270 113210 158494 218540 226420 316988 396235 437080 452840 554729 633976 792470 1109458 1584940 2218916 2524583 2773645 3169880 4437832 5049166 5547290 10098332 11094580 12622915 17672081 20196664 22189160 25245830 35344162 50491660 70688324 88360405 100983320 123704567 141376648 176720810 247409134 353441620 494818268 618522835 706883240 989636536 1237045670 2474091340 4948182680