Search a number
-
+
243454848 = 2737136967
BaseRepresentation
bin11101000001011…
…01001110000000
3121222002210021020
432200231032000
5444311023343
640054025440
76014221620
oct1640551600
9558083236
10243454848
1111547325a
1269648280
133b590530
1424494880
151658eb83
hexe82d380

243454848 has 128 divisors (see below), whose sum is σ = 796024320. Its totient is φ = 64198656.

The previous prime is 243454837. The next prime is 243454867. The reversal of 243454848 is 848454342.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 31461 + ... + 38427.

It is an arithmetic number, because the mean of its divisors is an integer number (6218940).

Almost surely, 2243454848 is an apocalyptic number.

243454848 is a gapful number since it is divisible by the number (28) 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 243454848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398012160).

243454848 is an abundant number, since it is smaller than the sum of its proper divisors (552569472).

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

243454848 is a wasteful number, since it uses less digits than its factorization.

243454848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7004 (or 6992 counting only the distinct ones).

The product of its digits is 491520, while the sum is 42.

The square root of 243454848 is about 15603.0397038526. The cubic root of 243454848 is about 624.4142548423.

The spelling of 243454848 in words is "two hundred forty-three million, four hundred fifty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 273 312 336 364 384 416 448 546 624 672 728 832 896 1092 1248 1344 1456 1664 2184 2496 2688 2912 4368 4992 5824 6967 8736 11648 13934 17472 20901 27868 34944 41802 48769 55736 83604 90571 97538 111472 146307 167208 181142 195076 222944 271713 292614 334416 362284 390152 445888 543426 585228 633997 668832 724568 780304 891776 1086852 1170456 1267994 1337664 1449136 1560608 1901991 2173704 2340912 2535988 2675328 2898272 3121216 3803982 4347408 4681824 5071976 5796544 6242432 7607964 8694816 9363648 10143952 11593088 15215928 17389632 18727296 20287904 30431856 34779264 40575808 60863712 81151616 121727424 243454848