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53035440 = 24351371613
BaseRepresentation
bin1100101001010…
…0000110110000
310200210110221120
43022110012300
5102034113230
65132422240
71212536163
oct312240660
9120713846
1053035440
1127a34347
1215917980
13acabc23
147087ada
1549c9310
hex32941b0

53035440 has 80 divisors (see below), whose sum is σ = 165712608. Its totient is φ = 14030848.

The previous prime is 53035417. The next prime is 53035453. The reversal of 53035440 is 4453035.

It is a happy number.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 53035440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32074 + ... + 33686.

Almost surely, 253035440 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 53035440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82856304).

53035440 is an abundant number, since it is smaller than the sum of its proper divisors (112677168).

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

53035440 is a wasteful number, since it uses less digits than its factorization.

53035440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1766 (or 1760 counting only the distinct ones).

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

The square root of 53035440 is about 7282.5435117135. The cubic root of 53035440 is about 375.7122817781.

Adding to 53035440 its reverse (4453035), we get a palindrome (57488475).

The spelling of 53035440 in words is "fifty-three million, thirty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 137 240 274 411 548 685 822 1096 1370 1613 1644 2055 2192 2740 3226 3288 4110 4839 5480 6452 6576 8065 8220 9678 10960 12904 16130 16440 19356 24195 25808 32260 32880 38712 48390 64520 77424 96780 129040 193560 220981 387120 441962 662943 883924 1104905 1325886 1767848 2209810 2651772 3314715 3535696 4419620 5303544 6629430 8839240 10607088 13258860 17678480 26517720 53035440