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55415080 = 23574577
BaseRepresentation
bin1101001101100…
…1000100101000
310212021101012101
43103121010220
5103141240310
65255423144
71242010000
oct323310450
9125241171
1055415080
112930a196
1216684ab4
13b6330b6
147507000
154ce943a
hex34d9128

55415080 has 80 divisors (see below), whose sum is σ = 145708020. Its totient is φ = 18966528.

The previous prime is 55415071. The next prime is 55415093. The reversal of 55415080 is 8051455.

It can be written as a sum of positive squares in 2 ways, for example, as 51179716 + 4235364 = 7154^2 + 2058^2 .

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

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 95752 + ... + 96328.

Almost surely, 255415080 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 55415080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72854010).

55415080 is an abundant number, since it is smaller than the sum of its proper divisors (90292940).

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

55415080 is an equidigital number, since it uses as much as digits as its factorization.

55415080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 28.

The square root of 55415080 is about 7444.1305738145. The cubic root of 55415080 is about 381.2495339957.

The spelling of 55415080 in words is "fifty-five million, four hundred fifteen thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 343 392 490 577 686 980 1154 1372 1715 1960 2308 2401 2744 2885 3430 4039 4616 4802 5770 6860 8078 9604 11540 12005 13720 16156 19208 20195 23080 24010 28273 32312 40390 48020 56546 80780 96040 113092 141365 161560 197911 226184 282730 395822 565460 791644 989555 1130920 1385377 1583288 1979110 2770754 3958220 5541508 6926885 7916440 11083016 13853770 27707540 55415080