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55848240 = 24325721583
BaseRepresentation
bin1101010100001…
…0110100110000
310220002101101100
43111002310300
5103244120430
65313004400
71245462600
oct325026460
9126071340
1055848240
1129585678
1216853700
13b7552c6
1475bac00
154d82960
hex3542d30

55848240 has 180 divisors, whose sum is σ = 218316384. Its totient is φ = 12757248.

The previous prime is 55848211. The next prime is 55848241. The reversal of 55848240 is 4284855.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×558482402 = 6238051822195200, which contains 22 as substring.

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 = 55848195 and 55848204.

It is not an unprimeable number, because it can be changed into a prime (55848241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34489 + ... + 36071.

Almost surely, 255848240 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 55848240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109158192).

55848240 is an abundant number, since it is smaller than the sum of its proper divisors (162468144).

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

55848240 is a wasteful number, since it uses less digits than its factorization.

55848240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 55848240 is about 7473.1680029289. The cubic root of 55848240 is about 382.2403209886.

It can be divided in two parts, 5584 and 8240, that added together give a cube (13824 = 243).

The spelling of 55848240 in words is "fifty-five million, eight hundred forty-eight thousand, two hundred forty".