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47398050 = 23252741367
BaseRepresentation
bin1011010011001…
…1110010100010
310022012001220100
42310303302202
544113214200
64411523230
71113606510
oct264636242
9108161810
1047398050
1124833947
1213a59516
139a86cab
14641b4b0
154263d00
hex2d33ca2

47398050 has 144 divisors (see below), whose sum is σ = 149490432. Its totient is φ = 10540800.

The previous prime is 47398049. The next prime is 47398121. The reversal of 47398050 is 5089374.

47398050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 47397996 and 47398014.

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 71 ways as a sum of consecutive naturals, for example, 128967 + ... + 129333.

It is an arithmetic number, because the mean of its divisors is an integer number (1038128).

Almost surely, 247398050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47398050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74745216).

47398050 is an abundant number, since it is smaller than the sum of its proper divisors (102092382).

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

47398050 is a wasteful number, since it uses less digits than its factorization.

47398050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 47398050 is about 6884.6241727490. The cubic root of 47398050 is about 361.8985348954.

The spelling of 47398050 in words is "forty-seven million, three hundred ninety-eight thousand, fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 41 42 45 50 63 70 75 82 90 105 123 126 150 175 205 210 225 246 287 315 350 367 369 410 450 525 574 615 630 734 738 861 1025 1050 1101 1230 1435 1575 1722 1835 1845 2050 2202 2569 2583 2870 3075 3150 3303 3670 3690 4305 5138 5166 5505 6150 6606 7175 7707 8610 9175 9225 11010 12845 12915 14350 15047 15414 16515 18350 18450 21525 23121 25690 25830 27525 30094 33030 38535 43050 45141 46242 55050 64225 64575 75235 77070 82575 90282 105329 115605 128450 129150 135423 150470 165150 192675 210658 225705 231210 270846 315987 376175 385350 451410 526645 578025 631974 677115 752350 947961 1053290 1128525 1156050 1354230 1579935 1895922 2257050 2633225 3159870 3385575 4739805 5266450 6771150 7899675 9479610 15799350 23699025 47398050