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53714240 = 265229733
BaseRepresentation
bin1100110011100…
…1110101000000
310202001222002022
43030321311000
5102222323430
65155141012
71221364166
oct314716500
9122058068
1053714240
1128358338
1215ba4768
13b188b98
1471c3236
154ab04e5
hex3339d40

53714240 has 56 divisors (see below), whose sum is σ = 128640840. Its totient is φ = 21362688.

The previous prime is 53714239. The next prime is 53714299. The reversal of 53714240 is 4241735.

It is a Cunningham number, because it is equal to 73292-1.

It can be written as a sum of positive squares in 4 ways, for example, as 32993536 + 20720704 = 5744^2 + 4552^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72914 + ... + 73646.

Almost surely, 253714240 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 53714240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64320420).

53714240 is an abundant number, since it is smaller than the sum of its proper divisors (74926600).

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

53714240 is a wasteful number, since it uses less digits than its factorization.

53714240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 53714240 is about 7328.9999317779. Note that the first 4 decimals coincide. The cubic root of 53714240 is about 377.3084038630.

Adding to 53714240 its reverse (4241735), we get a palindrome (57955975).

The spelling of 53714240 in words is "fifty-three million, seven hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 229 320 458 733 916 1145 1466 1832 2290 2932 3664 3665 4580 5864 7328 7330 9160 11728 14656 14660 18320 23456 29320 36640 46912 58640 73280 117280 167857 234560 335714 671428 839285 1342856 1678570 2685712 3357140 5371424 6714280 10742848 13428560 26857120 53714240