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545828900 = 225241671987
BaseRepresentation
bin100000100010001…
…011000000100100
31102001001222111012
4200202023000210
52104213011100
6130055001352
716345316621
oct4042130044
91361058435
10545828900
11260119371
12132969258
138910caa6
14526c5348
1532dbc135
hex2088b024

545828900 has 72 divisors (see below), whose sum is σ = 1232066976. Its totient is φ = 209721600.

The previous prime is 545828887. The next prime is 545828909. The reversal of 545828900 is 9828545.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (545828909) 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, 273707 + ... + 275693.

Almost surely, 2545828900 is an apocalyptic number.

545828900 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 545828900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616033488).

545828900 is an abundant number, since it is smaller than the sum of its proper divisors (686238076).

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

545828900 is a wasteful number, since it uses less digits than its factorization.

545828900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2109 (or 2102 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 41.

The square root of 545828900 is about 23362.9814022098. The cubic root of 545828900 is about 817.2448180582.

The spelling of 545828900 in words is "five hundred forty-five million, eight hundred twenty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 41 50 67 82 100 134 164 205 268 335 410 670 820 1025 1340 1675 1987 2050 2747 3350 3974 4100 5494 6700 7948 9935 10988 13735 19870 27470 39740 49675 54940 68675 81467 99350 133129 137350 162934 198700 266258 274700 325868 407335 532516 665645 814670 1331290 1629340 2036675 2662580 3328225 4073350 5458289 6656450 8146700 10916578 13312900 21833156 27291445 54582890 109165780 136457225 272914450 545828900