Search a number
-
+
47314944 = 2113217151
BaseRepresentation
bin1011010001111…
…1100000000000
310022000211220100
42310133200000
544103034234
64410042400
71113112305
oct264374000
9108024810
1047314944
1124787466
1213a19400
139a58211
1463d90ac
154249399
hex2d1f800

47314944 has 144 divisors (see below), whose sum is σ = 145650960. Its totient is φ = 14745600.

The previous prime is 47314937. The next prime is 47314963. The reversal of 47314944 is 44941374.

47314944 is a `hidden beast` number, since 473 + 149 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 47314899 and 47314908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 313269 + ... + 313419.

It is an arithmetic number, because the mean of its divisors is an integer number (1011465).

Almost surely, 247314944 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 47314944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72825480).

47314944 is an abundant number, since it is smaller than the sum of its proper divisors (98336016).

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

47314944 is a wasteful number, since it uses less digits than its factorization.

47314944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 173 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 47314944 is about 6878.5859011864. The cubic root of 47314944 is about 361.6868979553.

The spelling of 47314944 in words is "forty-seven million, three hundred fourteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 151 153 192 204 256 272 288 302 306 384 408 453 512 544 576 604 612 768 816 906 1024 1088 1152 1208 1224 1359 1536 1632 1812 2048 2176 2304 2416 2448 2567 2718 3072 3264 3624 4352 4608 4832 4896 5134 5436 6144 6528 7248 7701 8704 9216 9664 9792 10268 10872 13056 14496 15402 17408 18432 19328 19584 20536 21744 23103 26112 28992 30804 34816 38656 39168 41072 43488 46206 52224 57984 61608 77312 78336 82144 86976 92412 104448 115968 123216 154624 156672 164288 173952 184824 231936 246432 309248 313344 328576 347904 369648 463872 492864 657152 695808 739296 927744 985728 1314304 1391616 1478592 1971456 2628608 2783232 2957184 3942912 5257216 5914368 7885824 11828736 15771648 23657472 47314944