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53549040 = 2435347643
BaseRepresentation
bin1100110001000…
…1011111110000
310201202120110210
43030101133300
5102202032130
65151424120
71220105436
oct314213760
9121676423
1053549040
1128255206
1215b25040
13b12b92c
14717cd56
154a7b5b0
hex33117f0

53549040 has 80 divisors (see below), whose sum is σ = 166739328. Its totient is φ = 14216448.

The previous prime is 53549029. The next prime is 53549063. The reversal of 53549040 is 4094535.

53549040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 53548989 and 53549007.

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, 82959 + ... + 83601.

Almost surely, 253549040 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 53549040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83369664).

53549040 is an abundant number, since it is smaller than the sum of its proper divisors (113190288).

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

53549040 is a wasteful number, since it uses less digits than its factorization.

53549040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 53549040 is about 7317.7209566914. The cubic root of 53549040 is about 376.9211982948.

The spelling of 53549040 in words is "fifty-three million, five hundred forty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 347 643 694 1041 1286 1388 1735 1929 2082 2572 2776 3215 3470 3858 4164 5144 5205 5552 6430 6940 7716 8328 9645 10288 10410 12860 13880 15432 16656 19290 20820 25720 27760 30864 38580 41640 51440 77160 83280 154320 223121 446242 669363 892484 1115605 1338726 1784968 2231210 2677452 3346815 3569936 4462420 5354904 6693630 8924840 10709808 13387260 17849680 26774520 53549040