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54462040 = 23531167263
BaseRepresentation
bin1100111111000…
…0011001011000
310210110221212121
43033300121120
5102420241130
65223151024
71230630313
oct317603130
9123427777
1054462040
1128819156
12162a5474
13b38b379
14733997a
154babd7a
hex33f0658

54462040 has 64 divisors (see below), whose sum is σ = 127733760. Its totient is φ = 20876160.

The previous prime is 54462017. The next prime is 54462053. The reversal of 54462040 is 4026445.

54462040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×544620402 = 5932227601923200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54461996 and 54462014.

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, 206949 + ... + 207211.

It is an arithmetic number, because the mean of its divisors is an integer number (1995840).

Almost surely, 254462040 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 54462040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63866880).

54462040 is an abundant number, since it is smaller than the sum of its proper divisors (73271720).

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

54462040 is a wasteful number, since it uses less digits than its factorization.

54462040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 54462040 is about 7379.8401066690. The cubic root of 54462040 is about 379.0512806462.

Adding to 54462040 its reverse (4026445), we get a palindrome (58488485).

The spelling of 54462040 in words is "fifty-four million, four hundred sixty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 167 248 263 310 334 526 620 668 835 1052 1240 1315 1336 1670 2104 2630 3340 5177 5260 6680 8153 10354 10520 16306 20708 25885 32612 40765 41416 43921 51770 65224 81530 87842 103540 163060 175684 207080 219605 326120 351368 439210 878420 1361551 1756840 2723102 5446204 6807755 10892408 13615510 27231020 54462040