Search a number
-
+
1448484960 = 253513232129
BaseRepresentation
bin101011001010110…
…0010000001100000
310201221120122211010
41112111202001200
510431303004320
6355422020520
750615630136
oct12625420140
93657518733
101448484960
116836a520a
12345117740
131a11263c0
14da533756
1587270ae0
hex56562060

1448484960 has 96 divisors (see below), whose sum is σ = 4913727840. Its totient is φ = 356548608.

The previous prime is 1448484959. The next prime is 1448484979. The reversal of 1448484960 is 694848441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109825 + ... + 122304.

It is an arithmetic number, because the mean of its divisors is an integer number (51184665).

Almost surely, 21448484960 is an apocalyptic number.

1448484960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1448484960 is an abundant number, since it is smaller than the sum of its proper divisors (3465242880).

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

1448484960 is a wasteful number, since it uses less digits than its factorization.

1448484960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232160 (or 232152 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The square root of 1448484960 is about 38058.9668803555. The cubic root of 1448484960 is about 1131.4568517280.

The spelling of 1448484960 in words is "one billion, four hundred forty-eight million, four hundred eighty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 232129 464258 696387 928516 1160645 1392774 1857032 2321290 2785548 3017677 3481935 3714064 4642580 5571096 6035354 6963870 7428128 9053031 9285160 11142192 12070708 13927740 15088385 18106062 18570320 22284384 24141416 27855480 30176770 36212124 37140640 45265155 48282832 55710960 60353540 72424248 90530310 96565664 111421920 120707080 144848496 181060620 241414160 289696992 362121240 482828320 724242480 1448484960