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55380400 = 2452138451
BaseRepresentation
bin1101001101000…
…0100110110000
310212012121121221
43103100212300
5103134133100
65254554424
71241503615
oct323204660
9125177557
1055380400
1129296129
1216668a14
13b62038a
1474d850c
154cde01a
hex34d09b0

55380400 has 30 divisors (see below), whose sum is σ = 133052372. Its totient is φ = 22152000.

The previous prime is 55380397. The next prime is 55380419. The reversal of 55380400 is 408355.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 5 ways as a sum of consecutive naturals, for example, 68826 + ... + 69625.

Almost surely, 255380400 is an apocalyptic number.

55380400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55380400 is an abundant number, since it is smaller than the sum of its proper divisors (77671972).

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

55380400 is a wasteful number, since it uses less digits than its factorization.

55380400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138469 (or 138458 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 55380400 is about 7441.8008573194. The cubic root of 55380400 is about 381.1699858958.

Adding to 55380400 its reverse (408355), we get a palindrome (55788755).

The spelling of 55380400 in words is "fifty-five million, three hundred eighty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 138451 276902 553804 692255 1107608 1384510 2215216 2769020 3461275 5538040 6922550 11076080 13845100 27690200 55380400