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54144636 = 223713179277
BaseRepresentation
bin1100111010001…
…0111001111100
310202212211110220
43032202321330
5102330112021
65212301340
71225136040
oct316427174
9122784426
1054144636
1128621737
1216171850
13b2a9a60
147296020
154b47cc6
hex33a2e7c

54144636 has 96 divisors (see below), whose sum is σ = 156925440. Its totient is φ = 14148864.

The previous prime is 54144617. The next prime is 54144659. The reversal of 54144636 is 63644145.

It is a junction number, because it is equal to n+sod(n) for n = 54144597 and 54144606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195330 + ... + 195606.

It is an arithmetic number, because the mean of its divisors is an integer number (1634640).

Almost surely, 254144636 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 54144636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78462720).

54144636 is an abundant number, since it is smaller than the sum of its proper divisors (102780804).

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

54144636 is a wasteful number, since it uses less digits than its factorization.

54144636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 481 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 54144636 is about 7358.3038806508. The cubic root of 54144636 is about 378.3134769778.

The spelling of 54144636 in words is "fifty-four million, one hundred forty-four thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 179 182 273 277 358 364 537 546 554 716 831 1074 1092 1108 1253 1662 1939 2148 2327 2506 3324 3601 3759 3878 4654 5012 5817 6981 7202 7518 7756 9308 10803 11634 13962 14404 15036 16289 21606 23268 25207 27924 32578 43212 48867 49583 50414 65156 75621 97734 99166 100828 148749 151242 195468 198332 297498 302484 347081 594996 644579 694162 1041243 1289158 1388324 1933737 2082486 2578316 3867474 4164972 4512053 7734948 9024106 13536159 18048212 27072318 54144636