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47998332 = 22351923113
BaseRepresentation
bin1011011100011…
…0010101111100
310100022120100000
42313012111330
544241421312
64432434300
71121656554
oct267062574
9110276300
1047998332
1125103948
12140a8990
139c372a5
146536164
154331adc
hex2dc657c

47998332 has 144 divisors (see below), whose sum is σ = 139426560. Its totient is φ = 14370048.

The previous prime is 47998273. The next prime is 47998333. The reversal of 47998332 is 23389974.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47998333) 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, 424708 + ... + 424820.

It is an arithmetic number, because the mean of its divisors is an integer number (968240).

Almost surely, 247998332 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 47998332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69713280).

47998332 is an abundant number, since it is smaller than the sum of its proper divisors (91428228).

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

47998332 is a wasteful number, since it uses less digits than its factorization.

47998332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 160 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 47998332 is about 6928.0828516986. The cubic root of 47998332 is about 363.4199088550.

It can be divided in two parts, 4799 and 8332, that added together give a palindrome (13131).

The spelling of 47998332 in words is "forty-seven million, nine hundred ninety-eight thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 23 27 36 38 46 54 57 69 76 81 92 108 113 114 138 162 171 207 226 228 243 276 324 339 342 414 437 452 486 513 621 678 684 828 874 972 1017 1026 1242 1311 1356 1539 1748 1863 2034 2052 2147 2484 2599 2622 3051 3078 3726 3933 4068 4294 4617 5198 5244 5589 6102 6156 6441 7452 7797 7866 8588 9153 9234 10396 11178 11799 12204 12882 15594 15732 18306 18468 19323 22356 23391 23598 25764 27459 31188 35397 36612 38646 46782 47196 49381 54918 57969 70173 70794 77292 93564 98762 106191 109836 115938 140346 141588 148143 173907 197524 210519 212382 231876 280692 296286 347814 421038 424764 444429 521721 592572 631557 695628 842076 888858 1043442 1263114 1333287 1777716 2086884 2526228 2666574 3999861 5333148 7999722 11999583 15999444 23999166 47998332