Search a number
-
+
48285440 = 285717317
BaseRepresentation
bin1011100000110…
…0011100000000
310100212011011122
42320030130000
544330113230
64442531412
71124263610
oct270143400
9110764148
1048285440
112528a625
1214206b68
13a007b88
1465aca40
15438bbe5
hex2e0c700

48285440 has 144 divisors (see below), whose sum is σ = 140398272. Its totient is φ = 15532032.

The previous prime is 48285439. The next prime is 48285449. The reversal of 48285440 is 4458284.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 48285440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48285449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152162 + ... + 152478.

It is an arithmetic number, because the mean of its divisors is an integer number (974988).

Almost surely, 248285440 is an apocalyptic number.

48285440 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 48285440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70199136).

48285440 is an abundant number, since it is smaller than the sum of its proper divisors (92112832).

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

48285440 is a wasteful number, since it uses less digits than its factorization.

48285440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 35.

The square root of 48285440 is about 6948.7725534802. The cubic root of 48285440 is about 364.1430826615.

The spelling of 48285440 in words is "forty-eight million, two hundred eighty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 64 68 70 80 85 112 119 128 136 140 160 170 224 238 256 272 280 317 320 340 448 476 544 560 595 634 640 680 896 952 1088 1120 1190 1268 1280 1360 1585 1792 1904 2176 2219 2240 2380 2536 2720 3170 3808 4352 4438 4480 4760 5072 5389 5440 6340 7616 8876 8960 9520 10144 10778 10880 11095 12680 15232 17752 19040 20288 21556 21760 22190 25360 26945 30464 35504 37723 38080 40576 43112 44380 50720 53890 71008 75446 76160 81152 86224 88760 101440 107780 142016 150892 152320 172448 177520 188615 202880 215560 284032 301784 344896 355040 377230 405760 431120 568064 603568 689792 710080 754460 862240 1207136 1379584 1420160 1508920 1724480 2414272 2840320 3017840 3448960 4828544 6035680 6897920 9657088 12071360 24142720 48285440