Search a number
-
+
55283100 = 223521271451
BaseRepresentation
bin1101001011100…
…0110110011100
310212000200011020
43102320312130
5103123024400
65252524140
71240620135
oct322706634
9125020136
1055283100
112922a014
1216620650
13b5b7cc2
1474b0c8c
154cc02a0
hex34b8d9c

55283100 has 72 divisors (see below), whose sum is σ = 161323008. Its totient is φ = 14616000.

The previous prime is 55283093. The next prime is 55283101. The reversal of 55283100 is 138255.

It is a super-2 number, since 2×552831002 = 6112442291220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55283101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37375 + ... + 38825.

Almost surely, 255283100 is an apocalyptic number.

55283100 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 55283100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80661504).

55283100 is an abundant number, since it is smaller than the sum of its proper divisors (106039908).

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

55283100 is a wasteful number, since it uses less digits than its factorization.

55283100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 55283100 is about 7435.2605872289. The cubic root of 55283100 is about 380.9466241938.

The spelling of 55283100 in words is "fifty-five million, two hundred eighty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 127 150 254 300 381 508 635 762 1270 1451 1524 1905 2540 2902 3175 3810 4353 5804 6350 7255 7620 8706 9525 12700 14510 17412 19050 21765 29020 36275 38100 43530 72550 87060 108825 145100 184277 217650 368554 435300 552831 737108 921385 1105662 1842770 2211324 2764155 3685540 4606925 5528310 9213850 11056620 13820775 18427700 27641550 55283100