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55579104 = 25327191451
BaseRepresentation
bin1101010000000…
…1000111100000
310212120201012100
43110001013200
5103212012404
65303130400
71243262130
oct324010740
9125521170
1055579104
1129411449
1216743a00
13b68c959
14754aac0
154d2cd39
hex35011e0

55579104 has 144 divisors (see below), whose sum is σ = 190270080. Its totient is φ = 15033600.

The previous prime is 55579087. The next prime is 55579133. The reversal of 55579104 is 40197555.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37579 + ... + 39029.

It is an arithmetic number, because the mean of its divisors is an integer number (1321320).

Almost surely, 255579104 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 55579104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95135040).

55579104 is an abundant number, since it is smaller than the sum of its proper divisors (134690976).

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

55579104 is a wasteful number, since it uses less digits than its factorization.

55579104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 55579104 is about 7455.1394353157. The cubic root of 55579104 is about 381.6253190484.

The spelling of 55579104 in words is "fifty-five million, five hundred seventy-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 72 76 84 96 112 114 126 133 144 152 168 171 224 228 252 266 288 304 336 342 399 456 504 532 608 672 684 798 912 1008 1064 1197 1368 1451 1596 1824 2016 2128 2394 2736 2902 3192 4256 4353 4788 5472 5804 6384 8706 9576 10157 11608 12768 13059 17412 19152 20314 23216 26118 27569 30471 34824 38304 40628 46432 52236 55138 60942 69648 81256 82707 91413 104472 110276 121884 139296 162512 165414 182826 192983 208944 220552 243768 248121 325024 330828 365652 385966 417888 441104 487536 496242 578949 661656 731304 771932 882208 975072 992484 1157898 1323312 1462608 1543864 1736847 1984968 2315796 2646624 2925216 3087728 3473694 3969936 4631592 6175456 6947388 7939872 9263184 13894776 18526368 27789552 55579104