Search a number
-
+
48253440 = 293561103
BaseRepresentation
bin1011100000010…
…0101000000000
310100210112021110
42320010220000
544323102230
64442123320
71124101404
oct270045000
9110715243
1048253440
1125268584
12141b0540
139cc6441
1465a1104
1543824b0
hex2e04a00

48253440 has 160 divisors (see below), whose sum is σ = 158311296. Its totient is φ = 12533760.

The previous prime is 48253393. The next prime is 48253441. The reversal of 48253440 is 4435284.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 48253398 and 48253407.

It is not an unprimeable number, because it can be changed into a prime (48253441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 468429 + ... + 468531.

Almost surely, 248253440 is an apocalyptic number.

48253440 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 48253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79155648).

48253440 is an abundant number, since it is smaller than the sum of its proper divisors (110057856).

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

48253440 is a wasteful number, since it uses less digits than its factorization.

48253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 48253440 is about 6946.4696069298. The cubic root of 48253440 is about 364.0626225632.

The spelling of 48253440 in words is "forty-eight million, two hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 64 80 96 103 120 122 128 160 183 192 206 240 244 256 305 309 320 366 384 412 480 488 512 515 610 618 640 732 768 824 915 960 976 1030 1220 1236 1280 1464 1536 1545 1648 1830 1920 1952 2060 2440 2472 2560 2928 3090 3296 3660 3840 3904 4120 4880 4944 5856 6180 6283 6592 7320 7680 7808 8240 9760 9888 11712 12360 12566 13184 14640 15616 16480 18849 19520 19776 23424 24720 25132 26368 29280 31232 31415 32960 37698 39040 39552 46848 49440 50264 52736 58560 62830 65920 75396 78080 79104 93696 94245 98880 100528 117120 125660 131840 150792 156160 158208 188490 197760 201056 234240 251320 263680 301584 376980 395520 402112 468480 502640 603168 753960 791040 804224 1005280 1206336 1507920 1608448 2010560 2412672 3015840 3216896 4021120 4825344 6031680 8042240 9650688 12063360 16084480 24126720 48253440