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55545400 = 23521931439
BaseRepresentation
bin1101001111100…
…0111000111000
310212111222222001
43103320320320
5103204423100
65302310344
71243061641
oct323707070
9125458861
1055545400
1129399099
12167283b4
13b67a501
14753c6c8
154d22d6a
hex34f8e38

55545400 has 48 divisors (see below), whose sum is σ = 129902400. Its totient is φ = 22087680.

The previous prime is 55545389. The next prime is 55545403. The reversal of 55545400 is 454555.

It is a super-2 number, since 2×555454002 = 6170582922320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55545403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37881 + ... + 39319.

It is an arithmetic number, because the mean of its divisors is an integer number (2706300).

Almost surely, 255545400 is an apocalyptic number.

55545400 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 55545400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64951200).

55545400 is an abundant number, since it is smaller than the sum of its proper divisors (74357000).

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

55545400 is a wasteful number, since it uses less digits than its factorization.

55545400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 28.

The square root of 55545400 is about 7452.8786384859. The cubic root of 55545400 is about 381.5481623494.

Adding to 55545400 its reverse (454555), we get a palindrome (55999955).

It can be divided in two parts, 55545 and 400, that added together give a triangular number (55945 = T334).

The spelling of 55545400 in words is "fifty-five million, five hundred forty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 193 200 386 772 965 1439 1544 1930 2878 3860 4825 5756 7195 7720 9650 11512 14390 19300 28780 35975 38600 57560 71950 143900 277727 287800 555454 1110908 1388635 2221816 2777270 5554540 6943175 11109080 13886350 27772700 55545400