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53354040 = 2335538389
BaseRepresentation
bin1100101110000…
…1111000111000
310201101122222120
43023201320320
5102124312130
65143321240
71215334065
oct313417070
9121348876
1053354040
1128131753
1215a50220
13b090c4c
14712bc6c
154a3d910
hex32e1e38

53354040 has 64 divisors (see below), whose sum is σ = 163101600. Its totient is φ = 13957632.

The previous prime is 53354039. The next prime is 53354051. The reversal of 53354040 is 4045335.

It is a happy number.

53354040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 53354040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2166 + ... + 10554.

Almost surely, 253354040 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 53354040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81550800).

53354040 is an abundant number, since it is smaller than the sum of its proper divisors (109747560).

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

53354040 is a wasteful number, since it uses less digits than its factorization.

53354040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8456 (or 8452 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 53354040 is about 7304.3849843775. The cubic root of 53354040 is about 376.4631195478.

Adding to 53354040 its reverse (4045335), we get a palindrome (57399375).

The spelling of 53354040 in words is "fifty-three million, three hundred fifty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 1060 1272 1590 2120 3180 6360 8389 16778 25167 33556 41945 50334 67112 83890 100668 125835 167780 201336 251670 335560 444617 503340 889234 1006680 1333851 1778468 2223085 2667702 3556936 4446170 5335404 6669255 8892340 10670808 13338510 17784680 26677020 53354040