Search a number
-
+
47112192 = 2133471
BaseRepresentation
bin1011001110111…
…0000000000000
310021122112210000
42303232000000
544030042232
64401440000
71111306221
oct263560000
9107575700
1047112192
11246590a6
1213940000
1399b6b4a
146385248
15420927c
hex2cee000

47112192 has 140 divisors (see below), whose sum is σ = 142728696. Its totient is φ = 15482880.

The previous prime is 47112173. The next prime is 47112193. The reversal of 47112192 is 29121174.

47112192 is a `hidden beast` number, since 471 + 1 + 2 + 192 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47112193) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 663517 + ... + 663587.

Almost surely, 247112192 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 47112192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71364348).

47112192 is an abundant number, since it is smaller than the sum of its proper divisors (95616504).

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

47112192 is an frugal number, since it uses more digits than its factorization.

47112192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 76 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 47112192 is about 6863.8321657803. The cubic root of 47112192 is about 361.1695297748.

It can be divided in two parts, 4711 and 2192, that added together give a triangular number (6903 = T117).

The spelling of 47112192 in words is "forty-seven million, one hundred twelve thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 71 72 81 96 108 128 142 144 162 192 213 216 256 284 288 324 384 426 432 512 568 576 639 648 768 852 864 1024 1136 1152 1278 1296 1536 1704 1728 1917 2048 2272 2304 2556 2592 3072 3408 3456 3834 4096 4544 4608 5112 5184 5751 6144 6816 6912 7668 8192 9088 9216 10224 10368 11502 12288 13632 13824 15336 18176 18432 20448 20736 23004 24576 27264 27648 30672 36352 36864 40896 41472 46008 54528 55296 61344 72704 73728 81792 82944 92016 109056 110592 122688 145408 163584 165888 184032 218112 221184 245376 290816 327168 331776 368064 436224 490752 581632 654336 663552 736128 872448 981504 1308672 1472256 1744896 1963008 2617344 2944512 3926016 5234688 5889024 7852032 11778048 15704064 23556096 47112192