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55975050 = 2355217271
BaseRepresentation
bin1101010110000…
…1110010001010
310220022211100000
43111201302022
5103312200200
65315423430
71246531365
oct325416212
9126284300
1055975050
112966197a
12168b4b76
13b79ac41
1476110dc
154daa300
hex3561c8a

55975050 has 144 divisors (see below), whose sum is σ = 165739392. Its totient is φ = 13996800.

The previous prime is 55975039. The next prime is 55975061. The reversal of 55975050 is 5057955.

It is a happy number.

55975050 is a `hidden beast` number, since 559 + 7 + 50 + 50 = 666.

It is an interprime number because it is at equal distance from previous prime (55975039) and next prime (55975061).

It is a junction number, because it is equal to n+sod(n) for n = 55974996 and 55975014.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 206415 + ... + 206685.

It is an arithmetic number, because the mean of its divisors is an integer number (1150968).

Almost surely, 255975050 is an apocalyptic number.

55975050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 55975050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82869696).

55975050 is an abundant number, since it is smaller than the sum of its proper divisors (109764342).

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

55975050 is a wasteful number, since it uses less digits than its factorization.

55975050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 39375, while the sum is 36.

The square root of 55975050 is about 7481.6475458284. The cubic root of 55975050 is about 382.5294095034.

The spelling of 55975050 in words is "fifty-five million, nine hundred seventy-five thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 27 30 34 45 50 51 54 75 81 85 90 102 135 150 153 162 170 225 243 255 270 271 306 405 425 450 459 486 510 542 675 765 810 813 850 918 1215 1275 1350 1355 1377 1530 1626 2025 2295 2430 2439 2550 2710 2754 3825 4050 4065 4131 4590 4607 4878 6075 6775 6885 7317 7650 8130 8262 9214 11475 12150 12195 13550 13770 13821 14634 20325 20655 21951 22950 23035 24390 27642 34425 36585 40650 41310 41463 43902 46070 60975 65853 68850 69105 73170 82926 103275 109755 115175 121950 124389 131706 138210 182925 206550 207315 219510 230350 248778 329265 345525 365850 373167 414630 548775 621945 658530 691050 746334 1036575 1097550 1119501 1243890 1646325 1865835 2073150 2239002 3109725 3292650 3731670 5597505 6219450 9329175 11195010 18658350 27987525 55975050