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47027000 = 2353313741
BaseRepresentation
bin1011001101100…
…1001100111000
310021111012220202
42303121030320
544014331000
64355541332
71110502646
oct263311470
9107435822
1047027000
1124600099
12138ba848
139987137
146362196
1541dddd5
hex2cd9338

47027000 has 128 divisors (see below), whose sum is σ = 119508480. Its totient is φ = 17280000.

The previous prime is 47026999. The next prime is 47027011. The reversal of 47027000 is 72074.

47027000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1146980 + ... + 1147020.

It is an arithmetic number, because the mean of its divisors is an integer number (933660).

Almost surely, 247027000 is an apocalyptic number.

47027000 is a gapful number since it is divisible by the number (40) 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 47027000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59754240).

47027000 is an abundant number, since it is smaller than the sum of its proper divisors (72481480).

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

47027000 is a wasteful number, since it uses less digits than its factorization.

47027000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 20.

The square root of 47027000 is about 6857.6234950601. The cubic root of 47027000 is about 360.9516999654.

Adding to 47027000 its reverse (72074), we get a palindrome (47099074).

The spelling of 47027000 in words is "forty-seven million, twenty-seven thousand".

Divisors: 1 2 4 5 8 10 20 25 31 37 40 41 50 62 74 82 100 124 125 148 155 164 185 200 205 248 250 296 310 328 370 410 500 620 740 775 820 925 1000 1025 1147 1240 1271 1480 1517 1550 1640 1850 2050 2294 2542 3034 3100 3700 3875 4100 4588 4625 5084 5125 5735 6068 6200 6355 7400 7585 7750 8200 9176 9250 10168 10250 11470 12136 12710 15170 15500 18500 20500 22940 25420 28675 30340 31000 31775 37000 37925 41000 45880 47027 50840 57350 60680 63550 75850 94054 114700 127100 143375 151700 158875 188108 189625 229400 235135 254200 286750 303400 317750 376216 379250 470270 573500 635500 758500 940540 1147000 1175675 1271000 1517000 1881080 2351350 4702700 5878375 9405400 11756750 23513500 47027000