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55695384 = 23331941331
BaseRepresentation
bin1101010001110…
…1100000011000
310212210121201000
43110131200120
5103224223014
65305425000
71244255133
oct324354030
9125717630
1055695384
1129490848
121679b160
13b700864
14757b21a
154d52509
hex351d818

55695384 has 128 divisors (see below), whose sum is σ = 167328000. Its totient is φ = 17107200.

The previous prime is 55695377. The next prime is 55695391. The reversal of 55695384 is 48359655.

55695384 is a `hidden beast` number, since 5 + 569 + 5 + 3 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (55695377) and next prime (55695391).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168099 + ... + 168429.

It is an arithmetic number, because the mean of its divisors is an integer number (1307250).

Almost surely, 255695384 is an apocalyptic number.

55695384 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 55695384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83664000).

55695384 is an abundant number, since it is smaller than the sum of its proper divisors (111632616).

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

55695384 is a wasteful number, since it uses less digits than its factorization.

55695384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 396 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 55695384 is about 7462.9340074799. The cubic root of 55695384 is about 381.8912732058.

The spelling of 55695384 in words is "fifty-five million, six hundred ninety-five thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 41 54 57 72 76 82 108 114 123 152 164 171 216 228 246 328 331 342 369 456 492 513 662 684 738 779 984 993 1026 1107 1324 1368 1476 1558 1986 2052 2214 2337 2648 2952 2979 3116 3972 4104 4428 4674 5958 6232 6289 7011 7944 8856 8937 9348 11916 12578 13571 14022 17874 18696 18867 21033 23832 25156 27142 28044 35748 37734 40713 42066 50312 54284 56088 56601 71496 75468 81426 84132 108568 113202 122139 150936 162852 168264 169803 226404 244278 257849 325704 339606 366417 452808 488556 515698 679212 732834 773547 977112 1031396 1358424 1465668 1547094 2062792 2320641 2931336 3094188 4641282 6188376 6961923 9282564 13923846 18565128 27847692 55695384