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47102000 = 2453112141
BaseRepresentation
bin1011001110101…
…1100000110000
310021122000210112
42303223200300
544024231000
64401320452
71111234421
oct263534060
9107560715
1047102000
1124651480
1213936128
1399b230a
146381648
154206235
hex2ceb830

47102000 has 80 divisors (see below), whose sum is σ = 124304544. Its totient is φ = 17120000.

The previous prime is 47101993. The next prime is 47102023. The reversal of 47102000 is 20174.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20930 + ... + 23070.

Almost surely, 247102000 is an apocalyptic number.

47102000 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 47102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62152272).

47102000 is an abundant number, since it is smaller than the sum of its proper divisors (77202544).

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

47102000 is a wasteful number, since it uses less digits than its factorization.

47102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2175 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 47102000 is about 6863.0896832258. The cubic root of 47102000 is about 361.1434834007.

Adding to 47102000 its reverse (20174), we get a palindrome (47122174).

The spelling of 47102000 in words is "forty-seven million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2141 2200 2750 4282 4400 5500 8564 10705 11000 17128 21410 22000 23551 34256 42820 47102 53525 85640 94204 107050 117755 171280 188408 214100 235510 267625 376816 428200 471020 535250 588775 856400 942040 1070500 1177550 1884080 2141000 2355100 2943875 4282000 4710200 5887750 9420400 11775500 23551000 47102000