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55691064 = 23341113601
BaseRepresentation
bin1101010001110…
…0011100111000
310212210101210000
43110130130320
5103224103224
65305353000
71244236422
oct324343470
9125711700
1055691064
1129488580
1216798760
13b6cb8c0
147579812
154d510c9
hex351c738

55691064 has 160 divisors (see below), whose sum is σ = 183561840. Its totient is φ = 15552000.

The previous prime is 55691059. The next prime is 55691087. The reversal of 55691064 is 46019655.

55691064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 92364 + ... + 92964.

Almost surely, 255691064 is an apocalyptic number.

55691064 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55691064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91780920).

55691064 is an abundant number, since it is smaller than the sum of its proper divisors (127870776).

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

55691064 is a wasteful number, since it uses less digits than its factorization.

55691064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 55691064 is about 7462.6445714639. The cubic root of 55691064 is about 381.8813991801.

The spelling of 55691064 in words is "fifty-five million, six hundred ninety-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 27 33 36 39 44 52 54 66 72 78 81 88 99 104 108 117 132 143 156 162 198 216 234 264 286 297 312 324 351 396 429 468 572 594 601 648 702 792 858 891 936 1053 1144 1188 1202 1287 1404 1716 1782 1803 2106 2376 2404 2574 2808 3432 3564 3606 3861 4212 4808 5148 5409 6611 7128 7212 7722 7813 8424 10296 10818 11583 13222 14424 15444 15626 16227 19833 21636 23166 23439 26444 30888 31252 32454 39666 43272 46332 46878 48681 52888 59499 62504 64908 70317 79332 85943 92664 93756 97362 118998 129816 140634 158664 171886 178497 187512 194724 210951 237996 257829 281268 343772 356994 389448 421902 475992 515658 535491 562536 632853 687544 713988 773487 843804 1031316 1070982 1265706 1427976 1546974 1687608 2062632 2141964 2320461 2531412 3093948 4283928 4640922 5062824 6187896 6961383 9281844 13922766 18563688 27845532 55691064