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53418816 = 2632118431
BaseRepresentation
bin1100101111000…
…1101101000000
310201111221211200
43023301231000
5102133400231
65144541200
71216023663
oct313615500
9121457750
1053418816
1128176390
1215a81800
13b0b4589
1471476da
154a52be6
hex32f1b40

53418816 has 84 divisors (see below), whose sum is σ = 167054784. Its totient is φ = 16185600.

The previous prime is 53418809. The next prime is 53418821. The reversal of 53418816 is 61881435.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2121 + ... + 10551.

Almost surely, 253418816 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 53418816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83527392).

53418816 is an abundant number, since it is smaller than the sum of its proper divisors (113635968).

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

53418816 is a wasteful number, since it uses less digits than its factorization.

53418816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8460 (or 8447 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 53418816 is about 7308.8176882448. The cubic root of 53418816 is about 376.6154098769.

The spelling of 53418816 in words is "fifty-three million, four hundred eighteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 8431 16862 25293 33724 50586 67448 75879 92741 101172 134896 151758 185482 202344 269792 278223 303516 370964 404688 539584 556446 607032 741928 809376 834669 1112892 1214064 1483856 1618752 1669338 2225784 2428128 2967712 3338676 4451568 4856256 5935424 6677352 8903136 13354704 17806272 26709408 53418816