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53287440 = 2435239929
BaseRepresentation
bin1100101101000…
…1101000010000
310201021021121220
43023101220100
5102120144230
65142045040
71214635653
oct313215020
9121237556
1053287440
1128096708
1215a19780
13b06983b
14711189a
154a28d10
hex32d1a10

53287440 has 80 divisors (see below), whose sum is σ = 166060800. Its totient is φ = 14135296.

The previous prime is 53287439. The next prime is 53287441. The reversal of 53287440 is 4478235.

It is an interprime number because it is at equal distance from previous prime (53287439) and next prime (53287441).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (53287441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56896 + ... + 57824.

It is an arithmetic number, because the mean of its divisors is an integer number (2075760).

Almost surely, 253287440 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 53287440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83030400).

53287440 is an abundant number, since it is smaller than the sum of its proper divisors (112773360).

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

53287440 is a wasteful number, since it uses less digits than its factorization.

53287440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 53287440 is about 7299.8246554284. The cubic root of 53287440 is about 376.3064123683.

The spelling of 53287440 in words is "fifty-three million, two hundred eighty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 239 240 478 717 929 956 1195 1434 1858 1912 2390 2787 2868 3585 3716 3824 4645 4780 5574 5736 7170 7432 9290 9560 11148 11472 13935 14340 14864 18580 19120 22296 27870 28680 37160 44592 55740 57360 74320 111480 222031 222960 444062 666093 888124 1110155 1332186 1776248 2220310 2664372 3330465 3552496 4440620 5328744 6660930 8881240 10657488 13321860 17762480 26643720 53287440