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55345416 = 23373110627
BaseRepresentation
bin1101001100100…
…0000100001000
310212010211122020
43103020010020
5103132023131
65254124440
71241266620
oct323100410
9125124566
1055345416
1129271915
1216650720
13b60a489
1474c9880
154cd3996
hex34c8108

55345416 has 64 divisors (see below), whose sum is σ = 163246080. Its totient is φ = 15301440.

The previous prime is 55345403. The next prime is 55345439. The reversal of 55345416 is 61454355.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106 + ... + 10521.

It is an arithmetic number, because the mean of its divisors is an integer number (2550720).

Almost surely, 255345416 is an apocalyptic number.

55345416 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 55345416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81623040).

55345416 is an abundant number, since it is smaller than the sum of its proper divisors (107900664).

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

55345416 is a wasteful number, since it uses less digits than its factorization.

55345416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10674 (or 10670 counting only the distinct ones).

The product of its digits is 36000, while the sum is 33.

The square root of 55345416 is about 7439.4499796692. The cubic root of 55345416 is about 381.0897068340.

The spelling of 55345416 in words is "fifty-five million, three hundred forty-five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 1302 1736 2604 5208 10627 21254 31881 42508 63762 74389 85016 127524 148778 223167 255048 297556 329437 446334 595112 658874 892668 988311 1317748 1785336 1976622 2306059 2635496 3953244 4612118 6918177 7906488 9224236 13836354 18448472 27672708 55345416