Search a number
-
+
47306376 = 23331317991
BaseRepresentation
bin1011010001110…
…1011010001000
310022000102011000
42310131122020
544102301001
64405535000
71113045315
oct264353210
9108012130
1047306376
1124780a87
1213a14460
139a54350
1463d5d0c
154246a86
hex2d1d688

47306376 has 128 divisors (see below), whose sum is σ = 149990400. Its totient is φ = 13685760.

The previous prime is 47306353. The next prime is 47306417. The reversal of 47306376 is 67360374.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 47306376.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47241 + ... + 48231.

It is an arithmetic number, because the mean of its divisors is an integer number (1171800).

Almost surely, 247306376 is an apocalyptic number.

47306376 is the 5616-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47306376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74995200).

47306376 is an abundant number, since it is smaller than the sum of its proper divisors (102684024).

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

47306376 is a wasteful number, since it uses less digits than its factorization.

47306376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 47306376 is about 6877.9630705609. The cubic root of 47306376 is about 361.6650646813.

The spelling of 47306376 in words is "forty-seven million, three hundred six thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 27 34 36 39 51 52 54 68 72 78 102 104 108 117 136 153 156 204 216 221 234 306 312 351 408 442 459 468 612 663 702 884 918 936 991 1224 1326 1404 1768 1836 1982 1989 2652 2808 2973 3672 3964 3978 5304 5946 5967 7928 7956 8919 11892 11934 12883 15912 16847 17838 23784 23868 25766 26757 33694 35676 38649 47736 50541 51532 53514 67388 71352 77298 101082 103064 107028 115947 134776 151623 154596 202164 214056 219011 231894 303246 309192 347841 404328 438022 454869 463788 606492 657033 695682 876044 909738 927576 1212984 1314066 1391364 1752088 1819476 1971099 2628132 2782728 3638952 3942198 5256264 5913297 7884396 11826594 15768792 23653188 47306376