Search a number
-
+
47003040 = 2532574663
BaseRepresentation
bin1011001101001…
…1010110100000
310021110000001100
42303103112200
544013044130
64355234400
71110343050
oct263232640
9107400040
1047003040
1124594097
12138a8a00
139979266
146357560
1541d6c60
hex2cd35a0

47003040 has 144 divisors (see below), whose sum is σ = 183351168. Its totient is φ = 10741248.

The previous prime is 47003039. The next prime is 47003041. The reversal of 47003040 is 4030074.

It is an interprime number because it is at equal distance from previous prime (47003039) and next prime (47003041).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (47003041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7749 + ... + 12411.

It is an arithmetic number, because the mean of its divisors is an integer number (1273272).

Almost surely, 247003040 is an apocalyptic number.

47003040 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 47003040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91675584).

47003040 is an abundant number, since it is smaller than the sum of its proper divisors (136348128).

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

47003040 is a wasteful number, since it uses less digits than its factorization.

47003040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4691 (or 4680 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 47003040 is about 6855.8763116031. The cubic root of 47003040 is about 360.8903885775.

The spelling of 47003040 in words is "forty-seven million, three thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 4663 5040 9326 10080 13989 18652 23315 27978 32641 37304 41967 46630 55956 65282 69945 74608 83934 93260 97923 111912 130564 139890 149216 163205 167868 186520 195846 209835 223824 261128 279780 293769 326410 335736 373040 391692 419670 447648 489615 522256 559560 587538 652820 671472 746080 783384 839340 979230 1044512 1119120 1175076 1305640 1342944 1468845 1566768 1678680 1958460 2238240 2350152 2611280 2937690 3133536 3357360 3916920 4700304 5222560 5875380 6714720 7833840 9400608 11750760 15667680 23501520 47003040