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54312640 = 265198933
BaseRepresentation
bin1100111100101…
…1111011000000
310210012100221021
43033023323000
5102401001030
65220035224
71226435614
oct317137300
9123170837
1054312640
1128726988
1216232b14
13b338375
1472db344
154b7c97a
hex33cbec0

54312640 has 56 divisors (see below), whose sum is σ = 136154160. Its totient is φ = 20579328.

The previous prime is 54312623. The next prime is 54312647. The reversal of 54312640 is 4621345.

It is not an unprimeable number, because it can be changed into a prime (54312647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1614 + ... + 10546.

Almost surely, 254312640 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 54312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68077080).

54312640 is an abundant number, since it is smaller than the sum of its proper divisors (81841520).

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

54312640 is a wasteful number, since it uses less digits than its factorization.

54312640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8969 (or 8959 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 54312640 is about 7369.7109848352. The cubic root of 54312640 is about 378.7043593593.

Adding to 54312640 its reverse (4621345), we get a palindrome (58933985).

The spelling of 54312640 in words is "fifty-four million, three hundred twelve thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 380 608 760 1216 1520 3040 6080 8933 17866 35732 44665 71464 89330 142928 169727 178660 285856 339454 357320 571712 678908 714640 848635 1357816 1429280 1697270 2715632 2858560 3394540 5431264 6789080 10862528 13578160 27156320 54312640