Search a number
-
+
47338120 = 23519199313
BaseRepresentation
bin1011010010010…
…1001010001000
310022002000200201
42310211022020
544104304440
64410341544
71113240004
oct264451210
9108060621
1047338120
11247a2915
1213a2a8b4
139a6592b
146403704
15425119a
hex2d25288

47338120 has 64 divisors (see below), whose sum is σ = 113040000. Its totient is φ = 17791488.

The previous prime is 47338111. The next prime is 47338127. The reversal of 47338120 is 2183374.

It is not an unprimeable number, because it can be changed into a prime (47338127) 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, 151084 + ... + 151396.

It is an arithmetic number, because the mean of its divisors is an integer number (1766250).

Almost surely, 247338120 is an apocalyptic number.

47338120 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 47338120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56520000).

47338120 is an abundant number, since it is smaller than the sum of its proper divisors (65701880).

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

47338120 is a wasteful number, since it uses less digits than its factorization.

47338120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 47338120 is about 6880.2703435258. The cubic root of 47338120 is about 361.7459426360.

The spelling of 47338120 in words is "forty-seven million, three hundred thirty-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 199 313 380 398 626 760 796 995 1252 1565 1592 1990 2504 3130 3781 3980 5947 6260 7562 7960 11894 12520 15124 18905 23788 29735 30248 37810 47576 59470 62287 75620 118940 124574 151240 237880 249148 311435 498296 622870 1183453 1245740 2366906 2491480 4733812 5917265 9467624 11834530 23669060 47338120