Search a number
-
+
54332640 = 2533512577
BaseRepresentation
bin1100111101000…
…0110011100000
310210020101101000
43033100303200
5102402121030
65220312000
71226551125
oct317206340
9123211330
1054332640
112873aa0a
1216242600
13b3444bb
14730474c
154b83860
hex33d0ce0

54332640 has 96 divisors (see below), whose sum is σ = 190179360. Its totient is φ = 14487552.

The previous prime is 54332599. The next prime is 54332651. The reversal of 54332640 is 4623345.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1969 + ... + 10608.

It is an arithmetic number, because the mean of its divisors is an integer number (1981035).

Almost surely, 254332640 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 54332640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95089680).

54332640 is an abundant number, since it is smaller than the sum of its proper divisors (135846720).

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

54332640 is a wasteful number, since it uses less digits than its factorization.

54332640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12601 (or 12587 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 54332640 is about 7371.0677652563. The cubic root of 54332640 is about 378.7508381513.

Adding to 54332640 its reverse (4623345), we get a palindrome (58955985).

The spelling of 54332640 in words is "fifty-four million, three hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 12577 25154 37731 50308 62885 75462 100616 113193 125770 150924 188655 201232 226386 251540 301848 339579 377310 402464 452772 503080 565965 603696 679158 754620 905544 1006160 1131930 1207392 1358316 1509240 1697895 1811088 2012320 2263860 2716632 3018480 3395790 3622176 4527720 5433264 6036960 6791580 9055440 10866528 13583160 18110880 27166320 54332640