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4930474800 = 2435220272
BaseRepresentation
bin1001001011110000…
…10001001100110000
3110201121120001220210
410211320101030300
540044200143200
62133125104120
7233116226046
oct44570211460
913647501823
104930474800
112100140769
12b57258040
13607628214
1434ab64396
151dccc1650
hex125e11330

4930474800 has 90 divisors (see below), whose sum is σ = 15801749908. Its totient is φ = 1314144640.

The previous prime is 4930474799. The next prime is 4930474807. The reversal of 4930474800 is 84740394.

It is not an unprimeable number, because it can be changed into a prime (4930474807) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 2431387 + ... + 2433413.

Almost surely, 24930474800 is an apocalyptic number.

4930474800 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 4930474800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7900874954).

4930474800 is an abundant number, since it is smaller than the sum of its proper divisors (10871275108).

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

4930474800 is an equidigital number, since it uses as much as digits as its factorization.

4930474800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4075 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 4930474800 is about 70217.3397388423. The cubic root of 4930474800 is about 1702.0131629105.

The spelling of 4930474800 in words is "four billion, nine hundred thirty million, four hundred seventy-four thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 2027 4054 6081 8108 10135 12162 16216 20270 24324 30405 32432 40540 48648 50675 60810 81080 97296 101350 121620 152025 162160 202700 243240 304050 405400 486480 608100 810800 1216200 2432400 4108729 8217458 12326187 16434916 20543645 24652374 32869832 41087290 49304748 61630935 65739664 82174580 98609496 102718225 123261870 164349160 197218992 205436450 246523740 308154675 328698320 410872900 493047480 616309350 821745800 986094960 1232618700 1643491600 2465237400 4930474800