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54744336 = 243453797
BaseRepresentation
bin1101000011010…
…1010100010000
310211000022010000
43100311110100
5103003304321
65233210000
71233214323
oct320652420
9124008100
1054744336
11289a1259
1216400900
13b4599ca
1473b07ba
154c15826
hex3435510

54744336 has 100 divisors (see below), whose sum is σ = 161638092. Its totient is φ = 17881344.

The previous prime is 54744329. The next prime is 54744353. The reversal of 54744336 is 63344745.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 33177600 + 21566736 = 5760^2 + 4644^2 .

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 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 54744336.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 68290 + ... + 69086.

Almost surely, 254744336 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 54744336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80819046).

54744336 is an abundant number, since it is smaller than the sum of its proper divisors (106893756).

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

54744336 is a wasteful number, since it uses less digits than its factorization.

54744336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 855 counting only the distinct ones).

The product of its digits is 120960, while the sum is 36.

The square root of 54744336 is about 7398.9415459240. The cubic root of 54744336 is about 379.7050712490.

The spelling of 54744336 in words is "fifty-four million, seven hundred forty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 81 106 108 144 159 162 212 216 318 324 424 432 477 636 648 797 848 954 1272 1296 1431 1594 1908 2391 2544 2862 3188 3816 4293 4782 5724 6376 7173 7632 8586 9564 11448 12752 14346 17172 19128 21519 22896 28692 34344 38256 42241 43038 57384 64557 68688 84482 86076 114768 126723 129114 168964 172152 253446 258228 337928 344304 380169 506892 516456 675856 760338 1013784 1032912 1140507 1520676 2027568 2281014 3041352 3421521 4562028 6082704 6843042 9124056 13686084 18248112 27372168 54744336