Search a number
-
+
53245440 = 293252311
BaseRepresentation
bin1100101100011…
…1011000000000
310201012011000100
43023013120000
5102112323230
65141122400
71214402343
oct313073000
9121164010
1053245440
11280680a6
12159b9400
13b0536a1
14710045a
154a1b660
hex32c7600

53245440 has 120 divisors (see below), whose sum is σ = 184483728. Its totient is φ = 14192640.

The previous prime is 53245427. The next prime is 53245441. The reversal of 53245440 is 4454235.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53245441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21885 + ... + 24195.

Almost surely, 253245440 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 53245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92241864).

53245440 is an abundant number, since it is smaller than the sum of its proper divisors (131238288).

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

53245440 is a wasteful number, since it uses less digits than its factorization.

53245440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 53245440 is about 7296.9473069223. The cubic root of 53245440 is about 376.2075208754.

Adding to 53245440 its reverse (4454235), we get a palindrome (57699675).

The spelling of 53245440 in words is "fifty-three million, two hundred forty-five 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 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2311 2560 2880 3840 4608 4622 5760 6933 7680 9244 11520 11555 13866 18488 20799 23040 23110 27732 34665 36976 41598 46220 55464 69330 73952 83196 92440 103995 110928 138660 147904 166392 184880 207990 221856 277320 295808 332784 369760 415980 443712 554640 591616 665568 739520 831960 887424 1109280 1183232 1331136 1479040 1663920 1774848 2218560 2662272 2958080 3327840 3549696 4437120 5324544 5916160 6655680 8874240 10649088 13311360 17748480 26622720 53245440