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55185840 = 2433529881
BaseRepresentation
bin1101001010000…
…1000110110000
310211211201202000
43102201012300
5103111421330
65250454000
71240033443
oct322410660
9124751660
1055185840
1129172a36
1216594300
13b582958
14748765a
154ca1560
hex34a11b0

55185840 has 160 divisors (see below), whose sum is σ = 196862400. Its totient is φ = 14192640.

The previous prime is 55185803. The next prime is 55185847. The reversal of 55185840 is 4858155.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 55185795 and 55185804.

It is not an unprimeable number, because it can be changed into a prime (55185847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62200 + ... + 63080.

It is an arithmetic number, because the mean of its divisors is an integer number (1230390).

Almost surely, 255185840 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 55185840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98431200).

55185840 is an abundant number, since it is smaller than the sum of its proper divisors (141676560).

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

55185840 is a wasteful number, since it uses less digits than its factorization.

55185840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The square root of 55185840 is about 7428.7172513160. The cubic root of 55185840 is about 380.7230922410.

The spelling of 55185840 in words is "fifty-five million, one hundred eighty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 29 30 36 40 45 48 54 58 60 72 80 87 90 108 116 120 135 144 145 174 180 216 232 240 261 270 290 348 360 432 435 464 522 540 580 696 720 783 870 881 1044 1080 1160 1305 1392 1566 1740 1762 2088 2160 2320 2610 2643 3132 3480 3524 3915 4176 4405 5220 5286 6264 6960 7048 7830 7929 8810 10440 10572 12528 13215 14096 15660 15858 17620 20880 21144 23787 25549 26430 31320 31716 35240 39645 42288 47574 51098 52860 62640 63432 70480 76647 79290 95148 102196 105720 118935 126864 127745 153294 158580 190296 204392 211440 229941 237870 255490 306588 317160 380592 383235 408784 459882 475740 510980 613176 634320 689823 766470 919764 951480 1021960 1149705 1226352 1379646 1532940 1839528 1902960 2043920 2299410 2759292 3065880 3449115 3679056 4598820 5518584 6131760 6898230 9197640 11037168 13796460 18395280 27592920 55185840