Search a number
-
+
47771472 = 24372191069
BaseRepresentation
bin1011011000111…
…0111101010000
310022220001010210
42312032331100
544212141342
64423524120
71120023300
oct266167520
9108801123
1047771472
1124a69461
1213bb9640
139b87c58
1464b7600
1542d979c
hex2d8ef50

47771472 has 120 divisors (see below), whose sum is σ = 151255200. Its totient is φ = 12918528.

The previous prime is 47771467. The next prime is 47771473. The reversal of 47771472 is 27417774.

It is a super-2 number, since 2×477714722 = 4564227074093568, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 47771472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47771473) 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, 44154 + ... + 45222.

It is an arithmetic number, because the mean of its divisors is an integer number (1260460).

Almost surely, 247771472 is an apocalyptic number.

47771472 is a gapful number since it is divisible by the number (42) 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 47771472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75627600).

47771472 is an abundant number, since it is smaller than the sum of its proper divisors (103483728).

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

47771472 is a wasteful number, since it uses less digits than its factorization.

47771472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1100 counting only the distinct ones).

The product of its digits is 76832, while the sum is 39.

The square root of 47771472 is about 6911.6909653138. The cubic root of 47771472 is about 362.8464467528.

The spelling of 47771472 in words is "forty-seven million, seven hundred seventy-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 49 56 57 76 84 98 112 114 133 147 152 168 196 228 266 294 304 336 392 399 456 532 588 784 798 912 931 1064 1069 1176 1596 1862 2128 2138 2352 2793 3192 3207 3724 4276 5586 6384 6414 7448 7483 8552 11172 12828 14896 14966 17104 20311 22344 22449 25656 29932 40622 44688 44898 51312 52381 59864 60933 81244 89796 104762 119728 121866 142177 157143 162488 179592 209524 243732 284354 314286 324976 359184 419048 426531 487464 568708 628572 838096 853062 974928 995239 1137416 1257144 1706124 1990478 2274832 2514288 2985717 3412248 3980956 5971434 6824496 7961912 11942868 15923824 23885736 47771472