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54409914 = 23313179433
BaseRepresentation
bin1100111110001…
…1101010111010
310210101022101000
43033203222322
5102412104124
65222105430
71230322326
oct317435272
9123338330
1054409914
1128792a79
121627b276
13b370720
147324986
154b9b6c9
hex33e3aba

54409914 has 64 divisors (see below), whose sum is σ = 131241600. Its totient is φ = 16609536.

The previous prime is 54409913. The next prime is 54409931. The reversal of 54409914 is 41990445.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (54409913) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125442 + ... + 125874.

It is an arithmetic number, because the mean of its divisors is an integer number (2050650).

Almost surely, 254409914 is an apocalyptic number.

54409914 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 54409914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65620800).

54409914 is an abundant number, since it is smaller than the sum of its proper divisors (76831686).

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

54409914 is a wasteful number, since it uses less digits than its factorization.

54409914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 54409914 is about 7376.3076128914. The cubic root of 54409914 is about 378.9303111657.

The spelling of 54409914 in words is "fifty-four million, four hundred nine thousand, nine hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 179 234 351 358 433 537 702 866 1074 1299 1611 2327 2598 3222 3897 4654 4833 5629 6981 7794 9666 11258 11691 13962 16887 20943 23382 33774 41886 50661 62829 77507 101322 125658 151983 155014 232521 303966 465042 697563 1007591 1395126 2015182 2092689 3022773 4185378 6045546 9068319 18136638 27204957 54409914