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55454400 = 2632523851
BaseRepresentation
bin1101001110001…
…0101011000000
310212100101010200
43103202223000
5103144020100
65300325200
71242232431
oct323425300
9125311120
1055454400
1129336791
12166a3800
13b647c71
147517488
154d05e00
hex34e2ac0

55454400 has 126 divisors (see below), whose sum is σ = 197149212. Its totient is φ = 14784000.

The previous prime is 55454389. The next prime is 55454401. The reversal of 55454400 is 445455.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (55454401) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 12475 + ... + 16325.

Almost surely, 255454400 is an apocalyptic number.

55454400 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 55454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98574606).

55454400 is an abundant number, since it is smaller than the sum of its proper divisors (141694812).

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

55454400 is a wasteful number, since it uses less digits than its factorization.

55454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3879 (or 3861 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 55454400 is about 7446.7711123681. The cubic root of 55454400 is about 381.3396850730.

Adding to 55454400 its reverse (445455), we get a palindrome (55899855).

The spelling of 55454400 in words is "fifty-five million, four hundred fifty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 144 150 160 180 192 200 225 240 288 300 320 360 400 450 480 576 600 720 800 900 960 1200 1440 1600 1800 2400 2880 3600 3851 4800 7200 7702 11553 14400 15404 19255 23106 30808 34659 38510 46212 57765 61616 69318 77020 92424 96275 115530 123232 138636 154040 173295 184848 192550 231060 246464 277272 288825 308080 346590 369696 385100 462120 554544 577650 616160 693180 739392 770200 866475 924240 1109088 1155300 1232320 1386360 1540400 1732950 1848480 2218176 2310600 2772720 3080800 3465900 3696960 4621200 5545440 6161600 6931800 9242400 11090880 13863600 18484800 27727200 55454400