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55365000 = 233543691
BaseRepresentation
bin1101001100110…
…0110110001000
310212011211111120
43103030312020
5103133140000
65254355240
71241410665
oct323146610
9125154446
1055365000
11292855a9
121665bb20
13b616372
1474d2a6c
154cd96a0
hex34ccd88

55365000 has 80 divisors (see below), whose sum is σ = 173007120. Its totient is φ = 14760000.

The previous prime is 55364989. The next prime is 55365007. The reversal of 55365000 is 56355.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (55365007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13155 + ... + 16845.

It is an arithmetic number, because the mean of its divisors is an integer number (2162589).

Almost surely, 255365000 is an apocalyptic number.

55365000 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 55365000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86503560).

55365000 is an abundant number, since it is smaller than the sum of its proper divisors (117642120).

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

55365000 is a wasteful number, since it uses less digits than its factorization.

55365000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3720 (or 3701 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 24.

The square root of 55365000 is about 7440.7660895905. The cubic root of 55365000 is about 381.1346511205.

The spelling of 55365000 in words is "fifty-five million, three hundred sixty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 625 750 1000 1250 1500 1875 2500 3000 3691 3750 5000 7382 7500 11073 14764 15000 18455 22146 29528 36910 44292 55365 73820 88584 92275 110730 147640 184550 221460 276825 369100 442920 461375 553650 738200 922750 1107300 1384125 1845500 2214600 2306875 2768250 3691000 4613750 5536500 6920625 9227500 11073000 13841250 18455000 27682500 55365000