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55674000 = 2433531031
BaseRepresentation
bin1101010001100…
…0010010010000
310212202112101000
43110120102100
5103223032000
65305142000
71244135604
oct324302220
9125675330
1055674000
1129476778
121678a900
13b6c3bc5
147573504
154d4b000
hex3518490

55674000 has 160 divisors (see below), whose sum is σ = 199630080. Its totient is φ = 14832000.

The previous prime is 55673987. The next prime is 55674001. The reversal of 55674000 is 47655.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55674001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53485 + ... + 54515.

It is an arithmetic number, because the mean of its divisors is an integer number (1247688).

Almost surely, 255674000 is an apocalyptic number.

55674000 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 55674000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99815040).

55674000 is an abundant number, since it is smaller than the sum of its proper divisors (143956080).

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

55674000 is a wasteful number, since it uses less digits than its factorization.

55674000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 55674000 is about 7461.5011894390. The cubic root of 55674000 is about 381.8423917858.

The spelling of 55674000 in words is "fifty-five million, six hundred seventy-four thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 125 135 144 150 180 200 216 225 240 250 270 300 360 375 400 432 450 500 540 600 675 720 750 900 1000 1031 1080 1125 1200 1350 1500 1800 2000 2062 2160 2250 2700 3000 3093 3375 3600 4124 4500 5155 5400 6000 6186 6750 8248 9000 9279 10310 10800 12372 13500 15465 16496 18000 18558 20620 24744 25775 27000 27837 30930 37116 41240 46395 49488 51550 54000 55674 61860 74232 77325 82480 92790 103100 111348 123720 128875 139185 148464 154650 185580 206200 222696 231975 247440 257750 278370 309300 371160 386625 412400 445392 463950 515500 556740 618600 695925 742320 773250 927900 1031000 1113480 1159875 1237200 1391850 1546500 1855800 2062000 2226960 2319750 2783700 3093000 3479625 3711600 4639500 5567400 6186000 6959250 9279000 11134800 13918500 18558000 27837000 55674000