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47153340 = 22345132239
BaseRepresentation
bin1011001111100…
…0000010111100
310021201122020000
42303320002330
544032401330
64402354300
71111540203
oct263700274
9107648200
1047153340
1124687003
121395b990
1399cc7b0
14639623a
154216560
hex2cf80bc

47153340 has 120 divisors (see below), whose sum is σ = 159371520. Its totient is φ = 11601792.

The previous prime is 47153339. The next prime is 47153347. The reversal of 47153340 is 4335174.

47153340 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47153347) 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 39 ways as a sum of consecutive naturals, for example, 19941 + ... + 22179.

It is an arithmetic number, because the mean of its divisors is an integer number (1328096).

Almost surely, 247153340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47153340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79685760).

47153340 is an abundant number, since it is smaller than the sum of its proper divisors (112218180).

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

47153340 is a wasteful number, since it uses less digits than its factorization.

47153340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2273 (or 2262 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 47153340 is about 6866.8289624833. The cubic root of 47153340 is about 361.2746482067.

The spelling of 47153340 in words is "forty-seven million, one hundred fifty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 351 390 405 468 540 585 702 780 810 1053 1170 1404 1620 1755 2106 2239 2340 3510 4212 4478 5265 6717 7020 8956 10530 11195 13434 20151 21060 22390 26868 29107 33585 40302 44780 58214 60453 67170 80604 87321 100755 116428 120906 134340 145535 174642 181359 201510 241812 261963 291070 302265 349284 362718 403020 436605 523926 582140 604530 725436 785889 873210 906795 1047852 1209060 1309815 1571778 1746420 1813590 2357667 2619630 3143556 3627180 3929445 4715334 5239260 7858890 9430668 11788335 15717780 23576670 47153340