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47809890 = 23251973383
BaseRepresentation
bin1011011001100…
…0010101100010
310022221222211200
42312120111202
544214404030
64424422030
71120243302
oct266302542
9108858750
1047809890
1124a95307
1214017916
139b9c59b
1464c7602
1542e5d60
hex2d98562

47809890 has 96 divisors (see below), whose sum is σ = 132986880. Its totient is φ = 11881728.

The previous prime is 47809877. The next prime is 47809897. The reversal of 47809890 is 9890874.

47809890 is a `hidden beast` number, since 478 + 0 + 98 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (47809897) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124639 + ... + 125021.

It is an arithmetic number, because the mean of its divisors is an integer number (1385280).

Almost surely, 247809890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47809890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66493440).

47809890 is an abundant number, since it is smaller than the sum of its proper divisors (85176990).

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

47809890 is a wasteful number, since it uses less digits than its factorization.

47809890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 47809890 is about 6914.4696108957. The cubic root of 47809890 is about 362.9436881890.

The spelling of 47809890 in words is "forty-seven million, eight hundred nine thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 73 90 95 114 146 171 190 219 285 342 365 383 438 570 657 730 766 855 1095 1149 1314 1387 1710 1915 2190 2298 2774 3285 3447 3830 4161 5745 6570 6894 6935 7277 8322 11490 12483 13870 14554 17235 20805 21831 24966 27959 34470 36385 41610 43662 55918 62415 65493 72770 83877 109155 124830 130986 139795 167754 218310 251631 279590 327465 419385 503262 531221 654930 838770 1062442 1258155 1593663 2516310 2656105 3187326 4780989 5312210 7968315 9561978 15936630 23904945 47809890