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55615000 = 235472227
BaseRepresentation
bin1101010000100…
…1111000011000
310212122112102211
43110021320120
5103214140000
65304004504
71243501600
oct324117030
9125575384
1055615000
1129436411
1216760734
13b6a30ac
147559c00
154d387ba
hex3509e18

55615000 has 120 divisors (see below), whose sum is σ = 152248140. Its totient is φ = 18984000.

The previous prime is 55614997. The next prime is 55615009. The reversal of 55615000 is 51655.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55615009) 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 29 ways as a sum of consecutive naturals, for example, 244887 + ... + 245113.

Almost surely, 255615000 is an apocalyptic number.

55615000 is a gapful number since it is divisible by the number (50) 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 55615000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76124070).

55615000 is an abundant number, since it is smaller than the sum of its proper divisors (96633140).

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

55615000 is a wasteful number, since it uses less digits than its factorization.

55615000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 22.

The square root of 55615000 is about 7457.5465134319. The cubic root of 55615000 is about 381.7074594775.

Adding to 55615000 its reverse (51655), we get a palindrome (55666655).

The spelling of 55615000 in words is "fifty-five million, six hundred fifteen thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 125 140 175 196 200 227 245 250 280 350 392 454 490 500 625 700 875 908 980 1000 1135 1225 1250 1400 1589 1750 1816 1960 2270 2450 2500 3178 3500 4375 4540 4900 5000 5675 6125 6356 7000 7945 8750 9080 9800 11123 11350 12250 12712 15890 17500 22246 22700 24500 28375 30625 31780 35000 39725 44492 45400 49000 55615 56750 61250 63560 79450 88984 111230 113500 122500 141875 158900 198625 222460 227000 245000 278075 283750 317800 397250 444920 556150 567500 794500 993125 1112300 1135000 1390375 1589000 1986250 2224600 2780750 3972500 5561500 6951875 7945000 11123000 13903750 27807500 55615000