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54326640 = 2435415521
BaseRepresentation
bin1100111100111…
…1010101110000
310210020002010210
43033033111300
5102401423030
65220224120
71226524464
oct317172560
9123202123
1054326640
1128736455
121623b040
13b341854
1473024a4
154b81bb0
hex33cf570

54326640 has 80 divisors (see below), whose sum is σ = 172551456. Its totient is φ = 14131200.

The previous prime is 54326639. The next prime is 54326647. The reversal of 54326640 is 4662345.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 54326598 and 54326607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54326647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7080 + ... + 12600.

Almost surely, 254326640 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 54326640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86275728).

54326640 is an abundant number, since it is smaller than the sum of its proper divisors (118224816).

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

54326640 is a wasteful number, since it uses less digits than its factorization.

54326640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5578 (or 5572 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 54326640 is about 7370.6607573541. The cubic root of 54326640 is about 378.7368957115.

Adding to 54326640 its reverse (4662345), we get a palindrome (58988985).

The spelling of 54326640 in words is "fifty-four million, three hundred twenty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1968 2460 3280 4920 5521 9840 11042 16563 22084 27605 33126 44168 55210 66252 82815 88336 110420 132504 165630 220840 226361 265008 331260 441680 452722 662520 679083 905444 1131805 1325040 1358166 1810888 2263610 2716332 3395415 3621776 4527220 5432664 6790830 9054440 10865328 13581660 18108880 27163320 54326640