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248472340900 = 22527271212
BaseRepresentation
bin1110011101101000011…
…0110000100110100100
3212202100110112201210121
43213122012300212210
513032332404402100
6310051400331324
723644243023100
oct3473206604644
9782313481717
10248472340900
1196416182373
12401a4a73b44
131a57a7342b4
14c05198c900
1566e3b5951a
hex39da1b09a4

248472340900 has 81 divisors (see below), whose sum is σ = 627303272547. Its totient is φ = 85178553600.

The previous prime is 248472340889. The next prime is 248472340903. The reversal of 248472340900 is 9043274842.

The square root of 248472340900 is 498470.

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

It can be written as a sum of positive squares in 4 ways, for example, as 121981150564 + 126491190336 = 349258^2 + 355656^2 .

It is not an unprimeable number, because it can be changed into a prime (248472340903) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 34889340 + ... + 34896460.

Almost surely, 2248472340900 is an apocalyptic number.

248472340900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

248472340900 is the 498470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248472340900

248472340900 is an abundant number, since it is smaller than the sum of its proper divisors (378830931647).

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

248472340900 is an frugal number, since it uses more digits than its factorization.

248472340900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14270 (or 7135 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 43.

The spelling of 248472340900 in words is "two hundred forty-eight billion, four hundred seventy-two million, three hundred forty thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 7121 14242 28484 35605 49847 71210 99694 142420 178025 199388 249235 348929 356050 498470 697858 712100 996940 1246175 1395716 1744645 2492350 3489290 4984700 6978580 8723225 17446450 34892900 50708641 101417282 202834564 253543205 354960487 507086410 709920974 1014172820 1267716025 1419841948 1774802435 2484723409 2535432050 3549604870 4969446818 5070864100 7099209740 8874012175 9938893636 12423617045 17748024350 24847234090 35496048700 49694468180 62118085225 124236170450 248472340900