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54153040 = 24519231549
BaseRepresentation
bin1100111010010…
…0111101010000
310202220021000011
43032210331100
5102330344130
65212404304
71225202404
oct316447520
9122807004
1054153040
1128627a87
1216176694
13b2b0826
147299104
154b4a52a
hex33a4f50

54153040 has 80 divisors (see below), whose sum is σ = 138384000. Its totient is φ = 19616256.

The previous prime is 54153037. The next prime is 54153061. The reversal of 54153040 is 4035145.

54153040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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, 34186 + ... + 35734.

It is an arithmetic number, because the mean of its divisors is an integer number (1729800).

Almost surely, 254153040 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 54153040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69192000).

54153040 is an abundant number, since it is smaller than the sum of its proper divisors (84230960).

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

54153040 is a wasteful number, since it uses less digits than its factorization.

54153040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 54153040 is about 7358.8749140069. The cubic root of 54153040 is about 378.3330491350. Note that the first 3 decimals are identical.

Adding to 54153040 its reverse (4035145), we get a palindrome (58188185).

The spelling of 54153040 in words is "fifty-four million, one hundred fifty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 23 38 40 46 76 80 92 95 115 152 184 190 230 304 368 380 437 460 760 874 920 1520 1549 1748 1840 2185 3098 3496 4370 6196 6992 7745 8740 12392 15490 17480 24784 29431 30980 34960 35627 58862 61960 71254 117724 123920 142508 147155 178135 235448 285016 294310 356270 470896 570032 588620 676913 712540 1177240 1353826 1425080 2354480 2707652 2850160 3384565 5415304 6769130 10830608 13538260 27076520 54153040