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47329392 = 24311229281
BaseRepresentation
bin1011010010001…
…1000001110000
310022001120201110
42310203001300
544104020032
64410233320
71113202365
oct264430160
9108046643
1047329392
1124797300
1213a25840
139a61976
14640046c
15424d7cc
hex2d23070

47329392 has 120 divisors (see below), whose sum is σ = 139522320. Its totient is φ = 13798400.

The previous prime is 47329391. The next prime is 47329397. The reversal of 47329392 is 29392374.

It is a self number, because there is not a number n which added to its sum of digits gives 47329392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47329391) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168292 + ... + 168572.

It is an arithmetic number, because the mean of its divisors is an integer number (1162686).

Almost surely, 247329392 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 47329392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69761160).

47329392 is an abundant number, since it is smaller than the sum of its proper divisors (92192928).

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

47329392 is a wasteful number, since it uses less digits than its factorization.

47329392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 326 counting only the distinct ones).

The product of its digits is 81648, while the sum is 39.

The square root of 47329392 is about 6879.6360368845. The cubic root of 47329392 is about 361.7237088798.

The spelling of 47329392 in words is "forty-seven million, three hundred twenty-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 33 44 48 58 66 87 88 116 121 132 174 176 232 242 264 281 319 348 363 464 484 528 562 638 696 726 843 957 968 1124 1276 1392 1452 1686 1914 1936 2248 2552 2904 3091 3372 3509 3828 4496 5104 5808 6182 6744 7018 7656 8149 9273 10527 12364 13488 14036 15312 16298 18546 21054 24447 24728 28072 32596 34001 37092 42108 48894 49456 56144 65192 68002 74184 84216 89639 97788 102003 130384 136004 148368 168432 179278 195576 204006 268917 272008 358556 391152 408012 537834 544016 717112 816024 986029 1075668 1434224 1632048 1972058 2151336 2958087 3944116 4302672 5916174 7888232 11832348 15776464 23664696 47329392