Search a number
-
+
53893440 = 2632518713
BaseRepresentation
bin1100110110010…
…1100101000000
310202102001220100
43031211211000
5102244042230
65203042400
71223041506
oct315454500
9122361810
1053893440
112846aa37
1216070400
13b21c613
14722c676
154ae8660
hex3365940

53893440 has 84 divisors (see below), whose sum is σ = 185380884. Its totient is φ = 14370816.

The previous prime is 53893403. The next prime is 53893447. The reversal of 53893440 is 4439835.

It can be written as a sum of positive squares in 2 ways, for example, as 31539456 + 22353984 = 5616^2 + 4728^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 53893395 and 53893404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53893447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6477 + ... + 12236.

Almost surely, 253893440 is an apocalyptic number.

It is an amenable number.

53893440 is an abundant number, since it is smaller than the sum of its proper divisors (131487444).

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

53893440 is a wasteful number, since it uses less digits than its factorization.

53893440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18736 (or 18723 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 53893440 is about 7341.2151582691. The cubic root of 53893440 is about 377.7275268288.

It can be divided in two parts, 5 and 3893440, that added together give a triangular number (3893445 = T2790).

The spelling of 53893440 in words is "fifty-three million, eight hundred ninety-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 18713 37426 56139 74852 93565 112278 149704 168417 187130 224556 280695 299408 336834 374260 449112 561390 598816 673668 748520 842085 898224 1122780 1197632 1347336 1497040 1684170 1796448 2245560 2694672 2994080 3368340 3592896 4491120 5389344 5988160 6736680 8982240 10778688 13473360 17964480 26946720 53893440