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4920293800 = 235279893499
BaseRepresentation
bin1001001010100010…
…11011100110101000
3110200220101211012201
410211101123212220
540034043400200
62132122545544
7232633543612
oct44521334650
913626354181
104920293800
1120a5417614
12b539682b4
136054a2166
14349673db2
151dbe5ec6a
hex12545b9a8

4920293800 has 96 divisors (see below), whose sum is σ = 11718000000. Its totient is φ = 1920821760.

The previous prime is 4920293797. The next prime is 4920293809. The reversal of 4920293800 is 83920294.

It is a self number, because there is not a number n which added to its sum of digits gives 4920293800.

It is not an unprimeable number, because it can be changed into a prime (4920293809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1404451 + ... + 1407949.

It is an arithmetic number, because the mean of its divisors is an integer number (122062500).

Almost surely, 24920293800 is an apocalyptic number.

4920293800 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 4920293800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5859000000).

4920293800 is an abundant number, since it is smaller than the sum of its proper divisors (6797706200).

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

4920293800 is a wasteful number, since it uses less digits than its factorization.

4920293800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3683 (or 3674 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 4920293800 is about 70144.8059374320. The cubic root of 4920293800 is about 1700.8408527722.

The spelling of 4920293800 in words is "four billion, nine hundred twenty million, two hundred ninety-three thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 79 89 100 158 178 200 316 356 395 445 632 712 790 890 1580 1780 1975 2225 3160 3499 3560 3950 4450 6998 7031 7900 8900 13996 14062 15800 17495 17800 27992 28124 34990 35155 56248 69980 70310 87475 139960 140620 174950 175775 276421 281240 311411 349900 351550 552842 622822 699800 703100 1105684 1245644 1382105 1406200 1557055 2211368 2491288 2764210 3114110 5528420 6228220 6910525 7785275 11056840 12456440 13821050 15570550 24601469 27642100 31141100 49202938 55284200 62282200 98405876 123007345 196811752 246014690 492029380 615036725 984058760 1230073450 2460146900 4920293800