Search a number
-
+
54910400 = 265234319
BaseRepresentation
bin1101000101110…
…1110111000000
310211022201220112
43101131313000
5103024113100
65240530452
71234505426
oct321356700
9124281815
1054910400
1128aa4aa6
1216480a28
13b4b747c
147415116
154c49b35
hex345ddc0

54910400 has 42 divisors (see below), whose sum is σ = 135117840. Its totient is φ = 21963520.

The previous prime is 54910397. The next prime is 54910409. The reversal of 54910400 is 401945.

It is a happy number.

54910400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54910409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15560 + ... + 18759.

Almost surely, 254910400 is an apocalyptic number.

54910400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54910400 is an abundant number, since it is smaller than the sum of its proper divisors (80207440).

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

54910400 is a wasteful number, since it uses less digits than its factorization.

54910400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34341 (or 34326 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 54910400 is about 7410.1551940563. The cubic root of 54910400 is about 380.0886219896.

The spelling of 54910400 in words is "fifty-four million, nine hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 34319 68638 137276 171595 274552 343190 549104 686380 857975 1098208 1372760 1715950 2196416 2745520 3431900 5491040 6863800 10982080 13727600 27455200 54910400