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55416340 = 2257596709
BaseRepresentation
bin1101001101100…
…1011000010100
310212021102221001
43103121120110
5103141310330
65255433044
71242013450
oct323313024
9125242831
1055416340
1129310131
1216685784
13b633845
147507660
154ce99ca
hex34d9614

55416340 has 48 divisors (see below), whose sum is σ = 135273600. Its totient is φ = 18675072.

The previous prime is 55416329. The next prime is 55416341. The reversal of 55416340 is 4361455.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 55416299 and 55416308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55416341) 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, 4906 + ... + 11614.

It is an arithmetic number, because the mean of its divisors is an integer number (2818200).

Almost surely, 255416340 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 55416340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67636800).

55416340 is an abundant number, since it is smaller than the sum of its proper divisors (79857260).

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

55416340 is a wasteful number, since it uses less digits than its factorization.

55416340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6784 (or 6782 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 55416340 is about 7444.2152037673. The cubic root of 55416340 is about 381.2524235267.

Adding to 55416340 its reverse (4361455), we get a palindrome (59777795).

It can be divided in two parts, 5541 and 6340, that added together give a square (11881 = 1092).

The spelling of 55416340 in words is "fifty-five million, four hundred sixteen thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 118 140 236 295 413 590 826 1180 1652 2065 4130 6709 8260 13418 26836 33545 46963 67090 93926 134180 187852 234815 395831 469630 791662 939260 1583324 1979155 2770817 3958310 5541634 7916620 11083268 13854085 27708170 55416340