Search a number
-
+
47850240 = 283517733
BaseRepresentation
bin1011011010001…
…0001100000000
310100001001012010
42312202030000
544222201430
64425332520
71120502034
oct266421400
9110031163
1047850240
1125012659
1214037140
139bb4a69
1464d81c4
154302cb0
hex2da2300

47850240 has 144 divisors (see below), whose sum is σ = 162031968. Its totient is φ = 11993088.

The previous prime is 47850233. The next prime is 47850251. The reversal of 47850240 is 4205874.

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 = 47850198 and 47850207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64914 + ... + 65646.

It is an arithmetic number, because the mean of its divisors is an integer number (1125222).

Almost surely, 247850240 is an apocalyptic number.

47850240 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 47850240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81015984).

47850240 is an abundant number, since it is smaller than the sum of its proper divisors (114181728).

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

47850240 is a wasteful number, since it uses less digits than its factorization.

47850240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 47850240 is about 6917.3867898217. The cubic root of 47850240 is about 363.0457637208.

The spelling of 47850240 in words is "forty-seven million, eight hundred fifty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 256 272 320 340 384 408 480 510 544 640 680 733 768 816 960 1020 1088 1280 1360 1466 1632 1920 2040 2176 2199 2720 2932 3264 3665 3840 4080 4352 4398 5440 5864 6528 7330 8160 8796 10880 10995 11728 12461 13056 14660 16320 17592 21760 21990 23456 24922 29320 32640 35184 37383 43980 46912 49844 58640 62305 65280 70368 74766 87960 93824 99688 117280 124610 140736 149532 175920 186915 187648 199376 234560 249220 281472 299064 351840 373830 398752 469120 498440 562944 598128 703680 747660 797504 938240 996880 1196256 1407360 1495320 1595008 1993760 2392512 2814720 2990640 3190016 3987520 4785024 5981280 7975040 9570048 11962560 15950080 23925120 47850240