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55449856 = 287112997
BaseRepresentation
bin1101001110000…
…1100100000000
310212100010220101
43103201210000
5103143343411
65300252144
71242213250
oct323414400
9125303811
1055449856
1129333330
12166a1054
13b645b87
147515960
154d048c1
hex34e1900

55449856 has 144 divisors (see below), whose sum is σ = 144224640. Its totient is φ = 20643840.

The previous prime is 55449853. The next prime is 55449857. The reversal of 55449856 is 65894455.

Its product of digits (864000) is a multiple of the sum of its prime factors (160).

It is not an unprimeable number, because it can be changed into a prime (55449853) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 571600 + ... + 571696.

It is an arithmetic number, because the mean of its divisors is an integer number (1001560).

Almost surely, 255449856 is an apocalyptic number.

55449856 is a gapful number since it is divisible by the number (56) 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 55449856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72112320).

55449856 is an abundant number, since it is smaller than the sum of its proper divisors (88774784).

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

55449856 is a wasteful number, since it uses less digits than its factorization.

55449856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 146 counting only the distinct ones).

The product of its digits is 864000, while the sum is 46.

The square root of 55449856 is about 7446.4660074427. The cubic root of 55449856 is about 381.3292689783.

It can be divided in two parts, 5544 and 9856, that multiplied together give a square (54641664 = 73922).

The spelling of 55449856 in words is "fifty-five million, four hundred forty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 32 44 56 58 64 77 88 97 112 116 128 154 176 194 203 224 232 256 308 319 352 388 406 448 464 616 638 679 704 776 812 896 928 1067 1232 1276 1358 1408 1552 1624 1792 1856 2134 2233 2464 2552 2716 2813 2816 3104 3248 3712 4268 4466 4928 5104 5432 5626 6208 6496 7424 7469 8536 8932 9856 10208 10864 11252 12416 12992 14938 17072 17864 19691 19712 20416 21728 22504 24832 25984 29876 30943 34144 35728 39382 40832 43456 45008 51968 59752 61886 68288 71456 78764 81664 86912 90016 119504 123772 136576 142912 157528 173824 180032 216601 239008 247544 273152 285824 315056 360064 433202 478016 495088 571648 630112 720128 866404 956032 990176 1260224 1732808 1912064 1980352 2520448 3465616 3960704 5040896 6931232 7921408 13862464 27724928 55449856