Search a number
-
+
47997360 = 24365823
BaseRepresentation
bin1011011100011…
…0000110110000
310100022112000000
42313012012300
544241403420
64432430000
71121653665
oct267060660
9110275000
1047997360
1125103144
12140a8300
139c36a08
146535a6c
154331690
hex2dc61b0

47997360 has 140 divisors (see below), whose sum is σ = 167517552. Its totient is φ = 12783744.

The previous prime is 47997359. The next prime is 47997371. The reversal of 47997360 is 6379974.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 57909 + ... + 58731.

Almost surely, 247997360 is an apocalyptic number.

47997360 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 47997360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83758776).

47997360 is an abundant number, since it is smaller than the sum of its proper divisors (119520192).

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

47997360 is an equidigital number, since it uses as much as digits as its factorization.

47997360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 47997360 is about 6928.0127020669. The cubic root of 47997360 is about 363.4174556688.

The spelling of 47997360 in words is "forty-seven million, nine hundred ninety-seven thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 729 810 823 972 1080 1215 1296 1458 1620 1646 1944 2160 2430 2469 2916 3240 3292 3645 3888 4115 4860 4938 5832 6480 6584 7290 7407 8230 9720 9876 11664 12345 13168 14580 14814 16460 19440 19752 22221 24690 29160 29628 32920 37035 39504 44442 49380 58320 59256 65840 66663 74070 88884 98760 111105 118512 133326 148140 177768 197520 199989 222210 266652 296280 333315 355536 399978 444420 533304 592560 599967 666630 799956 888840 999945 1066608 1199934 1333260 1599912 1777680 1999890 2399868 2666520 2999835 3199824 3999780 4799736 5333040 5999670 7999560 9599472 11999340 15999120 23998680 47997360