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47356140 = 223513109557
BaseRepresentation
bin1011010010100…
…1100011101100
310022002221102010
42310221203230
544110344030
64411001220
71113343356
oct264514354
9108087363
1047356140
1124805407
1213a39210
139a70bb0
14640a0d6
1542566b0
hex2d298ec

47356140 has 96 divisors (see below), whose sum is σ = 144365760. Its totient is φ = 11529216.

The previous prime is 47356109. The next prime is 47356147. The reversal of 47356140 is 4165374.

47356140 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 47356098 and 47356107.

It is not an unprimeable number, because it can be changed into a prime (47356147) by changing a digit.

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, 84742 + ... + 85298.

It is an arithmetic number, because the mean of its divisors is an integer number (1503810).

Almost surely, 247356140 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 47356140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72182880).

47356140 is an abundant number, since it is smaller than the sum of its proper divisors (97009620).

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

47356140 is a wasteful number, since it uses less digits than its factorization.

47356140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 47356140 is about 6881.5797604910. The cubic root of 47356140 is about 361.7918382406.

The spelling of 47356140 in words is "forty-seven million, three hundred fifty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 109 130 156 195 218 260 327 390 436 545 557 654 780 1090 1114 1308 1417 1635 1671 2180 2228 2785 2834 3270 3342 4251 5570 5668 6540 6684 7085 7241 8355 8502 11140 14170 14482 16710 17004 21255 21723 28340 28964 33420 36205 42510 43446 60713 72410 85020 86892 108615 121426 144820 182139 217230 242852 303565 364278 434460 607130 728556 789269 910695 1214260 1578538 1821390 2367807 3157076 3642780 3946345 4735614 7892690 9471228 11839035 15785380 23678070 47356140