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47087352 = 23331341409
BaseRepresentation
bin1011001110011…
…1111011111000
310021121021201000
42303213323320
544023243402
64401125000
71111143624
oct263477370
9107537630
1047087352
1124641474
1213929760
1399a8750
14637a184
154201c1c
hex2ce7ef8

47087352 has 128 divisors (see below), whose sum is σ = 144648000. Its totient is φ = 14100480.

The previous prime is 47087351. The next prime is 47087423. The reversal of 47087352 is 25378074.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47087351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114924 + ... + 115332.

Almost surely, 247087352 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 47087352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72324000).

47087352 is an abundant number, since it is smaller than the sum of its proper divisors (97560648).

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

47087352 is a wasteful number, since it uses less digits than its factorization.

47087352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 47087352 is about 6862.0224423999. The cubic root of 47087352 is about 361.1060428235.

The spelling of 47087352 in words is "forty-seven million, eighty-seven thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 41 52 54 72 78 82 104 108 117 123 156 164 216 234 246 312 328 351 369 409 468 492 533 702 738 818 936 984 1066 1107 1227 1404 1476 1599 1636 2132 2214 2454 2808 2952 3198 3272 3681 4264 4428 4797 4908 5317 6396 7362 8856 9594 9816 10634 11043 12792 14391 14724 15951 16769 19188 21268 22086 28782 29448 31902 33538 38376 42536 44172 47853 50307 57564 63804 67076 88344 95706 100614 115128 127608 134152 143559 150921 191412 201228 217997 287118 301842 382824 402456 435994 452763 574236 603684 653991 871988 905526 1148472 1207368 1307982 1743976 1811052 1961973 2615964 3622104 3923946 5231928 5885919 7847892 11771838 15695784 23543676 47087352