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47720232 = 2333737853
BaseRepresentation
bin1011011000001…
…0011100101000
310022210102212000
42312002130220
544204021412
64422451000
71116421020
oct266023450
9108712760
1047720232
1124a33a0a
1213b93a60
139b6a831
1464a2a80
1542c94dc
hex2d82728

47720232 has 128 divisors (see below), whose sum is σ = 155769600. Its totient is φ = 13250304.

The previous prime is 47720227. The next prime is 47720243. The reversal of 47720232 is 23202774.

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

It is a junction number, because it is equal to n+sod(n) for n = 47720196 and 47720205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55518 + ... + 56370.

It is an arithmetic number, because the mean of its divisors is an integer number (1216950).

Almost surely, 247720232 is an apocalyptic number.

47720232 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 47720232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77884800).

47720232 is an abundant number, since it is smaller than the sum of its proper divisors (108049368).

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

47720232 is a wasteful number, since it uses less digits than its factorization.

47720232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 47720232 is about 6907.9832078545. The cubic root of 47720232 is about 362.7166698343.

The spelling of 47720232 in words is "forty-seven million, seven hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 37 42 54 56 63 72 74 84 108 111 126 148 168 189 216 222 252 259 296 333 378 444 504 518 666 756 777 853 888 999 1036 1332 1512 1554 1706 1998 2072 2331 2559 2664 3108 3412 3996 4662 5118 5971 6216 6824 6993 7677 7992 9324 10236 11942 13986 15354 17913 18648 20472 23031 23884 27972 30708 31561 35826 46062 47768 53739 55944 61416 63122 71652 92124 94683 107478 126244 143304 161217 184248 189366 214956 220927 252488 284049 322434 378732 429912 441854 568098 644868 662781 757464 852147 883708 1136196 1289736 1325562 1704294 1767416 1988343 2272392 2651124 3408588 3976686 5302248 5965029 6817176 7953372 11930058 15906744 23860116 47720232