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54450936 = 233223131251
BaseRepresentation
bin1100111110110…
…1101011111000
310210110101122100
43033231223320
5102414412221
65223023400
71230553041
oct317555370
9123411570
1054450936
1128810881
121629ab60
13b3862b7
1473358c8
154ba8926
hex33edaf8

54450936 has 96 divisors (see below), whose sum is σ = 155675520. Its totient is φ = 17160000.

The previous prime is 54450931. The next prime is 54450947. The reversal of 54450936 is 63905445.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 54450936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54450931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216811 + ... + 217061.

It is an arithmetic number, because the mean of its divisors is an integer number (1621620).

Almost surely, 254450936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54450936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77837760).

54450936 is an abundant number, since it is smaller than the sum of its proper divisors (101224584).

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

54450936 is a wasteful number, since it uses less digits than its factorization.

54450936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 54450936 is about 7379.0877484957. The cubic root of 54450936 is about 379.0255179222.

The spelling of 54450936 in words is "fifty-four million, four hundred fifty thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 131 138 184 207 251 262 276 393 414 502 524 552 753 786 828 1004 1048 1179 1506 1572 1656 2008 2259 2358 3012 3013 3144 4518 4716 5773 6024 6026 9036 9039 9432 11546 12052 17319 18072 18078 23092 24104 27117 32881 34638 36156 46184 51957 54234 65762 69276 72312 98643 103914 108468 131524 138552 197286 207828 216936 263048 295929 394572 415656 591858 756263 789144 1183716 1512526 2268789 2367432 3025052 4537578 6050104 6806367 9075156 13612734 18150312 27225468 54450936