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4838995840 = 27573134843
BaseRepresentation
bin1001000000110110…
…10011011110000000
3110111020102110101011
410200123103132000
534402240331330
62120100250304
7230625533410
oct44033233600
913436373334
104838995840
11206353a218
12b306a0994
135c16a9063
1433c950640
151d4c5182a
hex1206d3780

4838995840 has 128 divisors (see below), whose sum is σ = 13647697920. Its totient is φ = 1605519360.

The previous prime is 4838995831. The next prime is 4838995853. The reversal of 4838995840 is 485998384.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121459 + ... + 156301.

It is an arithmetic number, because the mean of its divisors is an integer number (106622640).

Almost surely, 24838995840 is an apocalyptic number.

4838995840 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 4838995840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6823848960).

4838995840 is an abundant number, since it is smaller than the sum of its proper divisors (8808702080).

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

4838995840 is a wasteful number, since it uses less digits than its factorization.

4838995840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34900 (or 34888 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 58.

The square root of 4838995840 is about 69562.8912567613. The cubic root of 4838995840 is about 1691.4211217888.

The spelling of 4838995840 in words is "four billion, eight hundred thirty-eight million, nine hundred ninety-five thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 64 70 80 112 124 128 140 155 160 217 224 248 280 310 320 434 448 496 560 620 640 868 896 992 1085 1120 1240 1736 1984 2170 2240 2480 3472 3968 4340 4480 4960 6944 8680 9920 13888 17360 19840 27776 34720 34843 69440 69686 138880 139372 174215 243901 278744 348430 487802 557488 696860 975604 1080133 1114976 1219505 1393720 1951208 2160266 2229952 2439010 2787440 3902416 4320532 4459904 4878020 5400665 5574880 7560931 7804832 8641064 9756040 10801330 11149760 15121862 15609664 17282128 19512080 21602660 22299520 30243724 31219328 34564256 37804655 39024160 43205320 60487448 69128512 75609310 78048320 86410640 120974896 138257024 151218620 156096640 172821280 241949792 302437240 345642560 483899584 604874480 691285120 967799168 1209748960 2419497920 4838995840