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55856952 = 233559487
BaseRepresentation
bin1101010100010…
…0111100111000
310220002211100000
43111010330320
5103244410302
65313113000
71245530154
oct325047470
9126084300
1055856952
1129591178
1216858760
13b759268
1475c0064
154d8531c
hex3544f38

55856952 has 96 divisors (see below), whose sum is σ = 159868800. Its totient is φ = 18265824.

The previous prime is 55856891. The next prime is 55857001. The reversal of 55856952 is 25965855.

55856952 is a `hidden beast` number, since 5 + 585 + 69 + 5 + 2 = 666.

55856952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 55856898 and 55856907.

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 23 ways as a sum of consecutive naturals, for example, 114453 + ... + 114939.

It is an arithmetic number, because the mean of its divisors is an integer number (1665300).

Almost surely, 255856952 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 55856952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79934400).

55856952 is an abundant number, since it is smaller than the sum of its proper divisors (104011848).

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

55856952 is a wasteful number, since it uses less digits than its factorization.

55856952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 551 counting only the distinct ones).

The product of its digits is 540000, while the sum is 45.

The square root of 55856952 is about 7473.7508655293. The cubic root of 55856952 is about 382.2601957094.

The spelling of 55856952 in words is "fifty-five million, eight hundred fifty-six thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 72 81 108 118 162 177 216 236 243 324 354 472 486 487 531 648 708 972 974 1062 1416 1461 1593 1944 1948 2124 2922 3186 3896 4248 4383 4779 5844 6372 8766 9558 11688 12744 13149 14337 17532 19116 26298 28674 28733 35064 38232 39447 52596 57348 57466 78894 86199 105192 114696 114932 118341 157788 172398 229864 236682 258597 315576 344796 473364 517194 689592 775791 946728 1034388 1551582 2068776 2327373 3103164 4654746 6206328 6982119 9309492 13964238 18618984 27928476 55856952