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55668384 = 25357159
BaseRepresentation
bin1101010001011…
…0111010100000
310212202020200000
43110112322200
5103222342014
65305100000
71244113332
oct324267240
9125666600
1055668384
1129472532
1216787600
13b6c1495
147571452
154d49509
hex3516ea0

55668384 has 72 divisors (see below), whose sum is σ = 164193120. Its totient is φ = 18553536.

The previous prime is 55668373. The next prime is 55668419. The reversal of 55668384 is 48386655.

55668384 is a `hidden beast` number, since 5 + 566 + 8 + 3 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4197 + ... + 11355.

It is an arithmetic number, because the mean of its divisors is an integer number (2280460).

Almost surely, 255668384 is an apocalyptic number.

55668384 is a gapful number since it is divisible by the number (54) 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 55668384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82096560).

55668384 is an abundant number, since it is smaller than the sum of its proper divisors (108524736).

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

55668384 is an equidigital number, since it uses as much as digits as its factorization.

55668384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7184 (or 7164 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 55668384 is about 7461.1248481714. The cubic root of 55668384 is about 381.8295521660.

The spelling of 55668384 in words is "fifty-five million, six hundred sixty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7159 7776 14318 21477 28636 42954 57272 64431 85908 114544 128862 171816 193293 229088 257724 343632 386586 515448 579879 687264 773172 1030896 1159758 1546344 1739637 2061792 2319516 3092688 3479274 4639032 6185376 6958548 9278064 13917096 18556128 27834192 55668384