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55168144 = 2473149317
BaseRepresentation
bin1101001001110…
…0110010010000
310211210211110121
43102130302100
5103110340034
65250240024
71236631033
oct322346220
9124724417
1055168144
1129160709
1216586014
13b577895
14748101a
154c9b1b4
hex349cc90

55168144 has 40 divisors (see below), whose sum is σ = 109423800. Its totient is φ = 26938368.

The previous prime is 55168133. The next prime is 55168171. The reversal of 55168144 is 44186155.

It can be written as a sum of positive squares in 4 ways, for example, as 230400 + 54937744 = 480^2 + 7412^2 .

It is a super-2 number, since 2×551681442 = 6087048224809472, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 173874 + ... + 174190.

It is an arithmetic number, because the mean of its divisors is an integer number (2735595).

Almost surely, 255168144 is an apocalyptic number.

It is an amenable number.

55168144 is a deficient number, since it is larger than the sum of its proper divisors (54255656).

55168144 is a wasteful number, since it uses less digits than its factorization.

55168144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 541 counting only the distinct ones).

The product of its digits is 19200, while the sum is 34.

The square root of 55168144 is about 7427.5261022766. The cubic root of 55168144 is about 380.6823934186.

The spelling of 55168144 in words is "fifty-five million, one hundred sixty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 73 146 149 292 298 317 584 596 634 1168 1192 1268 2384 2536 5072 10877 21754 23141 43508 46282 47233 87016 92564 94466 174032 185128 188932 370256 377864 755728 3448009 6896018 13792036 27584072 55168144