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47390112 = 25327112137
BaseRepresentation
bin1011010011000…
…1110110100000
310022011200000100
42310301312200
544112440422
64411422400
71113544410
oct264616640
9108150010
1047390112
1124828990
1213a54a00
139a834b3
146418640
1542617ac
hex2d31da0

47390112 has 144 divisors (see below), whose sum is σ = 168098112. Its totient is φ = 12303360.

The previous prime is 47390111. The next prime is 47390141. The reversal of 47390112 is 21109374.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47390111) 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, 21108 + ... + 23244.

It is an arithmetic number, because the mean of its divisors is an integer number (1167348).

Almost surely, 247390112 is an apocalyptic number.

47390112 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 47390112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84049056).

47390112 is an abundant number, since it is smaller than the sum of its proper divisors (120708000).

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

47390112 is a wasteful number, since it uses less digits than its factorization.

47390112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 47390112 is about 6884.0476465521. The cubic root of 47390112 is about 361.8783307523.

Adding to 47390112 its reverse (21109374), we get a palindrome (68499486).

The spelling of 47390112 in words is "forty-seven million, three hundred ninety thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 63 66 72 77 84 88 96 99 112 126 132 144 154 168 176 198 224 231 252 264 288 308 336 352 396 462 504 528 616 672 693 792 924 1008 1056 1232 1386 1584 1848 2016 2137 2464 2772 3168 3696 4274 5544 6411 7392 8548 11088 12822 14959 17096 19233 22176 23507 25644 29918 34192 38466 44877 47014 51288 59836 68384 70521 76932 89754 94028 102576 119672 134631 141042 153864 164549 179508 188056 205152 211563 239344 269262 282084 307728 329098 359016 376112 423126 478688 493647 538524 564168 615456 658196 718032 752224 846252 987294 1077048 1128336 1316392 1436064 1480941 1692504 1974588 2154096 2256672 2632784 2961882 3385008 3949176 4308192 5265568 5923764 6770016 7898352 11847528 15796704 23695056 47390112