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55585332 = 22331171659
BaseRepresentation
bin1101010000001…
…0101000110100
310212121000202000
43110002220310
5103212212312
65303215300
71243316235
oct324025064
9125530660
1055585332
11294160a0
1216747530
13b69273a
14754d08c
154d2eadc
hex3502a34

55585332 has 96 divisors (see below), whose sum is σ = 159667200. Its totient is φ = 16581600.

The previous prime is 55585331. The next prime is 55585391. The reversal of 55585332 is 23358555.

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 (55585331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84019 + ... + 84677.

It is an arithmetic number, because the mean of its divisors is an integer number (1663200).

Almost surely, 255585332 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 55585332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79833600).

55585332 is an abundant number, since it is smaller than the sum of its proper divisors (104081868).

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

55585332 is a wasteful number, since it uses less digits than its factorization.

55585332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 746 counting only the distinct ones).

The product of its digits is 90000, while the sum is 36.

The square root of 55585332 is about 7455.5571220399. The cubic root of 55585332 is about 381.6395730488.

The spelling of 55585332 in words is "fifty-five million, five hundred eighty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 71 99 108 132 142 198 213 284 297 396 426 594 639 659 781 852 1188 1278 1318 1562 1917 1977 2343 2556 2636 3124 3834 3954 4686 5931 7029 7249 7668 7908 9372 11862 14058 14498 17793 21087 21747 23724 28116 28996 35586 42174 43494 46789 65241 71172 84348 86988 93578 130482 140367 187156 195723 260964 280734 391446 421101 514679 561468 782892 842202 1029358 1263303 1544037 1684404 2058716 2526606 3088074 4632111 5053212 6176148 9264222 13896333 18528444 27792666 55585332