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54053744 = 24173741131
BaseRepresentation
bin1100111000110…
…0101101110000
310202201012210112
43032030231300
5102314204434
65210320452
71224310043
oct316145560
9122635715
1054053744
112856a418
1216129128
13b277584
147270c5a
154b2adce
hex338cb70

54053744 has 80 divisors (see below), whose sum is σ = 117554976. Its totient is φ = 23961600.

The previous prime is 54053743. The next prime is 54053759. The reversal of 54053744 is 44735045.

54053744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 54053744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54053743) 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 15 ways as a sum of consecutive naturals, for example, 412559 + ... + 412689.

Almost surely, 254053744 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 54053744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58777488).

54053744 is an abundant number, since it is smaller than the sum of its proper divisors (63501232).

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

54053744 is a wasteful number, since it uses less digits than its factorization.

54053744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 32.

The square root of 54053744 is about 7352.1251349525. The cubic root of 54053744 is about 378.1016682004.

Adding to 54053744 its reverse (44735045), we get a palindrome (98788789).

The spelling of 54053744 in words is "fifty-four million, fifty-three thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 17 34 37 41 68 74 82 131 136 148 164 262 272 296 328 524 592 629 656 697 1048 1258 1394 1517 2096 2227 2516 2788 3034 4454 4847 5032 5371 5576 6068 8908 9694 10064 10742 11152 12136 17816 19388 21484 24272 25789 35632 38776 42968 51578 77552 82399 85936 91307 103156 164798 182614 198727 206312 329596 365228 397454 412624 659192 730456 794908 1318384 1460912 1589816 3179632 3378359 6756718 13513436 27026872 54053744