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54848920 = 2357317189
BaseRepresentation
bin1101000100111…
…0110110011000
310211012121120111
43101032312120
5103020131140
65235334104
71234131250
oct321166630
9124177514
1054848920
1128a62895
1216451334
13b4954a9
1473da960
154c367ea
hex344ed98

54848920 has 128 divisors (see below), whose sum is σ = 149299200. Its totient is φ = 17740800.

The previous prime is 54848873. The next prime is 54848921. The reversal of 54848920 is 2984845.

54848920 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (54848921) 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, 616236 + ... + 616324.

It is an arithmetic number, because the mean of its divisors is an integer number (1166400).

Almost surely, 254848920 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 54848920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74649600).

54848920 is an abundant number, since it is smaller than the sum of its proper divisors (94450280).

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

54848920 is a wasteful number, since it uses less digits than its factorization.

54848920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 54848920 is about 7406.0056710753. The cubic root of 54848920 is about 379.9467145967.

The spelling of 54848920 in words is "fifty-four million, eight hundred forty-eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 71 89 124 140 142 155 178 217 248 280 284 310 355 356 434 445 497 568 620 623 710 712 868 890 994 1085 1240 1246 1420 1736 1780 1988 2170 2201 2485 2492 2759 2840 3115 3560 3976 4340 4402 4970 4984 5518 6230 6319 8680 8804 9940 11005 11036 12460 12638 13795 15407 17608 19313 19880 22010 22072 24920 25276 27590 30814 31595 38626 44020 44233 50552 55180 61628 63190 77035 77252 88040 88466 96565 110360 123256 126380 154070 154504 176932 193130 195889 221165 252760 308140 353864 386260 391778 442330 616280 772520 783556 884660 979445 1371223 1567112 1769320 1958890 2742446 3917780 5484892 6856115 7835560 10969784 13712230 27424460 54848920