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54994000 = 245331887
BaseRepresentation
bin1101000111001…
…0010001010000
310211110222120211
43101302101100
5103034302000
65242413504
71235304235
oct321622120
9124428524
1054994000
1129051896
1216501294
13b516539
14743778c
154c647ba
hex3472450

54994000 has 80 divisors (see below), whose sum is σ = 137419776. Its totient is φ = 21264000.

The previous prime is 54993979. The next prime is 54994003. The reversal of 54994000 is 49945.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54994003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61557 + ... + 62443.

Almost surely, 254994000 is an apocalyptic number.

54994000 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 54994000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68709888).

54994000 is an abundant number, since it is smaller than the sum of its proper divisors (82425776).

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

54994000 is a wasteful number, since it uses less digits than its factorization.

54994000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 54994000 is about 7415.7939561452. The cubic root of 54994000 is about 380.2814166552.

It can be divided in two parts, 549 and 94000, that added together give a palindrome (94549).

The spelling of 54994000 in words is "fifty-four million, nine hundred ninety-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 200 248 250 310 400 496 500 620 775 887 1000 1240 1550 1774 2000 2480 3100 3548 3875 4435 6200 7096 7750 8870 12400 14192 15500 17740 22175 27497 31000 35480 44350 54994 62000 70960 88700 109988 110875 137485 177400 219976 221750 274970 354800 439952 443500 549940 687425 887000 1099880 1374850 1774000 2199760 2749700 3437125 5499400 6874250 10998800 13748500 27497000 54994000