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4921794320 = 245734491877
BaseRepresentation
bin1001001010101110…
…01001111100010000
3110201000020001112112
410211113021330100
540034434404240
62132215044452
7232652363402
oct44527117420
913630201475
104921794320
1120a6251a13
12b54370728
136058a9141
14349944b72
151dc159665
hex1255c9f10

4921794320 has 80 divisors (see below), whose sum is σ = 11631956400. Its totient is φ = 1936392192.

The previous prime is 4921794313. The next prime is 4921794331. The reversal of 4921794320 is 234971294.

It can be written as a sum of positive squares in 8 ways, for example, as 33547264 + 4888247056 = 5792^2 + 69916^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2621222 + ... + 2623098.

It is an arithmetic number, because the mean of its divisors is an integer number (145399455).

Almost surely, 24921794320 is an apocalyptic number.

4921794320 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 4921794320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5815978200).

4921794320 is an abundant number, since it is smaller than the sum of its proper divisors (6710162080).

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

4921794320 is a wasteful number, since it uses less digits than its factorization.

4921794320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2412 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The square root of 4921794320 is about 70155.5009960017. The cubic root of 4921794320 is about 1701.0137344757.

The spelling of 4921794320 in words is "four billion, nine hundred twenty-one million, seven hundred ninety-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 449 584 730 898 1168 1460 1796 1877 2245 2920 3592 3754 4490 5840 7184 7508 8980 9385 15016 17960 18770 30032 32777 35920 37540 65554 75080 131108 137021 150160 163885 262216 274042 327770 524432 548084 655540 685105 842773 1096168 1311080 1370210 1685546 2192336 2622160 2740420 3371092 4213865 5480840 6742184 8427730 10961680 13484368 16855460 33710920 61522429 67421840 123044858 246089716 307612145 492179432 615224290 984358864 1230448580 2460897160 4921794320