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54040536 = 23321126203
BaseRepresentation
bin1100111000100…
…1011111011000
310202200112200100
43032021133120
5102313244121
65210135400
71224223404
oct316113730
9122615610
1054040536
1128560500
1216121560
13b271564
14726a104
154b27026
hex33897d8

54040536 has 72 divisors (see below), whose sum is σ = 160900740. Its totient is φ = 16373280.

The previous prime is 54040523. The next prime is 54040537. The reversal of 54040536 is 63504045.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54040537) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5611 + ... + 11813.

Almost surely, 254040536 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 54040536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80450370).

54040536 is an abundant number, since it is smaller than the sum of its proper divisors (106860204).

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

54040536 is a wasteful number, since it uses less digits than its factorization.

54040536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6237 (or 6219 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 54040536 is about 7351.2268363859. The cubic root of 54040536 is about 378.0708693863.

The spelling of 54040536 in words is "fifty-four million, forty thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 4356 6203 8712 12406 18609 24812 37218 49624 55827 68233 74436 111654 136466 148872 204699 223308 272932 409398 446616 545864 614097 750563 818796 1228194 1501126 1637592 2251689 2456388 3002252 4503378 4912776 6004504 6755067 9006756 13510134 18013512 27020268 54040536