Search a number
-
+
55362000 = 243539227
BaseRepresentation
bin1101001100110…
…0000111010000
310212011200101110
43103030013100
5103133041000
65254333320
71241366151
oct323140720
9125150343
1055362000
1129283321
121665a240
13b614ba5
1474d1928
154cd8850
hex34cc1d0

55362000 has 80 divisors (see below), whose sum is σ = 178506432. Its totient is φ = 14761600.

The previous prime is 55361987. The next prime is 55362019. The reversal of 55362000 is 26355.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1387 + ... + 10613.

Almost surely, 255362000 is an apocalyptic number.

55362000 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 55362000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89253216).

55362000 is an abundant number, since it is smaller than the sum of its proper divisors (123144432).

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

55362000 is a wasteful number, since it uses less digits than its factorization.

55362000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9253 (or 9237 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 55362000 is about 7440.5644947141. The cubic root of 55362000 is about 381.1277669602.

Adding to 55362000 its reverse (26355), we get a palindrome (55388355).

The spelling of 55362000 in words is "fifty-five million, three hundred sixty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 9227 18454 27681 36908 46135 55362 73816 92270 110724 138405 147632 184540 221448 230675 276810 369080 442896 461350 553620 692025 738160 922700 1107240 1153375 1384050 1845400 2214480 2306750 2768100 3460125 3690800 4613500 5536200 6920250 9227000 11072400 13840500 18454000 27681000 55362000