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54586840 = 23571137479
BaseRepresentation
bin1101000000111…
…0110111011000
310210201022001211
43100032313120
5102433234330
65225552504
71231660210
oct320166730
9123638054
1054586840
11288a39a0
1216345734
13b403109
14736d240
154bd3d2a
hex340edd8

54586840 has 128 divisors (see below), whose sum is σ = 157593600. Its totient is φ = 16519680.

The previous prime is 54586837. The next prime is 54586841. The reversal of 54586840 is 4868545.

54586840 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 (40).

It is a junction number, because it is equal to n+sod(n) for n = 54586793 and 54586802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54586841) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 113721 + ... + 114199.

It is an arithmetic number, because the mean of its divisors is an integer number (1231200).

Almost surely, 254586840 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 54586840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78796800).

54586840 is an abundant number, since it is smaller than the sum of its proper divisors (103006760).

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

54586840 is a wasteful number, since it uses less digits than its factorization.

54586840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

The square root of 54586840 is about 7388.2907360228. The cubic root of 54586840 is about 379.3405923214.

The spelling of 54586840 in words is "fifty-four million, five hundred eighty-six thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 37 40 44 55 56 70 74 77 88 110 140 148 154 185 220 259 280 296 308 370 385 407 440 479 518 616 740 770 814 958 1036 1295 1480 1540 1628 1916 2035 2072 2395 2590 2849 3080 3256 3353 3832 4070 4790 5180 5269 5698 6706 8140 9580 10360 10538 11396 13412 14245 16280 16765 17723 19160 21076 22792 26345 26824 28490 33530 35446 36883 42152 52690 56980 67060 70892 73766 88615 105380 113960 124061 134120 141784 147532 177230 184415 194953 210760 248122 295064 354460 368830 389906 496244 620305 708920 737660 779812 974765 992488 1240610 1364671 1475320 1559624 1949530 2481220 2729342 3899060 4962440 5458684 6823355 7798120 10917368 13646710 27293420 54586840