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2748904900 = 2252741072
BaseRepresentation
bin1010001111011000…
…1111010111000100
321002120112211121121
42203312033113010
521112204424100
61132434323324
7125056210000
oct24366172704
97076484547
102748904900
111190759a35
12648729544
1334a67a561
141c1123700
151114e551a
hexa3d8f5c4

2748904900 has 135 divisors (see below), whose sum is σ = 7024541069. Its totient is φ = 933673440.

The previous prime is 2748904897. The next prime is 2748904919. The reversal of 2748904900 is 94098472.

The square root of 2748904900 is 52430.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 989605764 + 1759299136 = 31458^2 + 41944^2 .

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 25690647 + ... + 25690753.

Almost surely, 22748904900 is an apocalyptic number.

2748904900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2748904900 is the 52430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2748904900

2748904900 is an abundant number, since it is smaller than the sum of its proper divisors (4275636169).

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

2748904900 is an equidigital number, since it uses as much as digits as its factorization.

2748904900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The cubic root of 2748904900 is about 1400.8336701353.

The spelling of 2748904900 in words is "two billion, seven hundred forty-eight million, nine hundred four thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 107 140 175 196 214 245 343 350 428 490 535 686 700 749 980 1070 1225 1372 1498 1715 2140 2401 2450 2675 2996 3430 3745 4802 4900 5243 5350 6860 7490 8575 9604 10486 10700 11449 12005 14980 17150 18725 20972 22898 24010 26215 34300 36701 37450 45796 48020 52430 57245 60025 73402 74900 80143 104860 114490 120050 131075 146804 160286 183505 228980 240100 256907 262150 286225 320572 367010 400715 513814 524300 561001 572450 734020 801430 917525 1027628 1122002 1144900 1284535 1602860 1835050 2003575 2244004 2569070 2805005 3670100 3927007 4007150 5138140 5610010 6422675 7854014 8014300 11220020 12845350 14025025 15708028 19635035 25690700 27489049 28050050 39270070 54978098 56100100 78540140 98175175 109956196 137445245 196350350 274890490 392700700 549780980 687226225 1374452450 2748904900