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54124704 = 2532238171
BaseRepresentation
bin1100111001111…
…0000010100000
310202211211010200
43032132002200
5102323442304
65212025200
71225023654
oct316360240
9122754120
1054124704
1128608767
1216162200
13b2a096a
14728ca64
154b41e39
hex339e0a0

54124704 has 72 divisors (see below), whose sum is σ = 160628832. Its totient is φ = 17255040.

The previous prime is 54124699. The next prime is 54124709. The reversal of 54124704 is 40742145.

It is an interprime number because it is at equal distance from previous prime (54124699) and next prime (54124709).

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (54124709) 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 11 ways as a sum of consecutive naturals, for example, 2539 + ... + 10709.

It is an arithmetic number, because the mean of its divisors is an integer number (2230956).

Almost surely, 254124704 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 54124704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80314416).

54124704 is an abundant number, since it is smaller than the sum of its proper divisors (106504128).

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

54124704 is a wasteful number, since it uses less digits than its factorization.

54124704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8210 (or 8199 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 54124704 is about 7356.9493677747. The cubic root of 54124704 is about 378.2670490503.

Adding to 54124704 its reverse (40742145), we get a palindrome (94866849).

The spelling of 54124704 in words is "fifty-four million, one hundred twenty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 8171 16342 24513 32684 49026 65368 73539 98052 130736 147078 187933 196104 261472 294156 375866 392208 563799 588312 751732 784416 1127598 1176624 1503464 1691397 2255196 2353248 3006928 3382794 4510392 6013856 6765588 9020784 13531176 18041568 27062352 54124704