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54142304 = 2529411423
BaseRepresentation
bin1100111010001…
…0010101100000
310202212201021112
43032202111200
5102330023204
65212242452
71225126166
oct316422540
9122781245
1054142304
112861aa07
1216170428
13b2a8988
147295236
154b4726e
hex33a2560

54142304 has 48 divisors (see below), whose sum is σ = 113037120. Its totient is φ = 25482240.

The previous prime is 54142303. The next prime is 54142313. The reversal of 54142304 is 40324145.

It is a self number, because there is not a number n which added to its sum of digits gives 54142304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54142303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37337 + ... + 38759.

It is an arithmetic number, because the mean of its divisors is an integer number (2354940).

Almost surely, 254142304 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 54142304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56518560).

54142304 is an abundant number, since it is smaller than the sum of its proper divisors (58894816).

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

54142304 is a wasteful number, since it uses less digits than its factorization.

54142304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 54142304 is about 7358.1454185141. The cubic root of 54142304 is about 378.3080456014.

Adding to 54142304 its reverse (40324145), we get a palindrome (94466449).

The spelling of 54142304 in words is "fifty-four million, one hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 29 32 41 58 82 116 164 232 328 464 656 928 1189 1312 1423 2378 2846 4756 5692 9512 11384 19024 22768 38048 41267 45536 58343 82534 116686 165068 233372 330136 466744 660272 933488 1320544 1691947 1866976 3383894 6767788 13535576 27071152 54142304