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47409840 = 2433547467
BaseRepresentation
bin1011010011011…
…0101010110000
310022012200002000
42310312222300
544114103330
64412054000
71113656052
oct264665260
9108180060
1047409840
1124841795
1213a64300
139a8c47a
1464218d2
154267560
hex2d36ab0

47409840 has 160 divisors (see below), whose sum is σ = 167132160. Its totient is φ = 12347136.

The previous prime is 47409833. The next prime is 47409841. The reversal of 47409840 is 4890474.

47409840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 47409795 and 47409804.

It is not an unprimeable number, because it can be changed into a prime (47409841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101287 + ... + 101753.

It is an arithmetic number, because the mean of its divisors is an integer number (1044576).

Almost surely, 247409840 is an apocalyptic number.

47409840 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 47409840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83566080).

47409840 is an abundant number, since it is smaller than the sum of its proper divisors (119722320).

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

47409840 is a wasteful number, since it uses less digits than its factorization.

47409840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 47409840 is about 6885.4803753987. The cubic root of 47409840 is about 361.9285391536.

The spelling of 47409840 in words is "forty-seven million, four hundred nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 47 48 54 60 72 80 90 94 108 120 135 141 144 180 188 216 235 240 270 282 360 376 423 432 467 470 540 564 705 720 752 846 934 940 1080 1128 1269 1401 1410 1692 1868 1880 2115 2160 2256 2335 2538 2802 2820 3384 3736 3760 4203 4230 4670 5076 5604 5640 6345 6768 7005 7472 8406 8460 9340 10152 11208 11280 12609 12690 14010 16812 16920 18680 20304 21015 21949 22416 25218 25380 28020 33624 33840 37360 42030 43898 50436 50760 56040 63045 65847 67248 84060 87796 100872 101520 109745 112080 126090 131694 168120 175592 197541 201744 219490 252180 263388 329235 336240 351184 395082 438980 504360 526776 592623 658470 790164 877960 987705 1008720 1053552 1185246 1316940 1580328 1755920 1975410 2370492 2633880 2963115 3160656 3950820 4740984 5267760 5926230 7901640 9481968 11852460 15803280 23704920 47409840