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53708040 = 23325193773
BaseRepresentation
bin1100110011100…
…0010100001000
310202001122120200
43030320110020
5102222124130
65155052200
71221340131
oct314702410
9122048520
1053708040
1128353711
1215ba1060
13b186109
1471c0c88
154aad760
hex3338508

53708040 has 96 divisors (see below), whose sum is σ = 175682520. Its totient is φ = 14229504.

The previous prime is 53707963. The next prime is 53708051. The reversal of 53708040 is 4080735.

It can be written as a sum of positive squares in 4 ways, for example, as 22638564 + 31069476 = 4758^2 + 5574^2 .

It is a junction number, because it is equal to n+sod(n) for n = 53707995 and 53708013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69094 + ... + 69866.

Almost surely, 253708040 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 53708040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87841260).

53708040 is an abundant number, since it is smaller than the sum of its proper divisors (121974480).

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

53708040 is a wasteful number, since it uses less digits than its factorization.

53708040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 53708040 is about 7328.5769423538. The cubic root of 53708040 is about 377.2938862843.

Adding to 53708040 its reverse (4080735), we get a palindrome (57788775).

The spelling of 53708040 in words is "fifty-three million, seven hundred eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 193 360 386 579 772 773 965 1158 1544 1546 1737 1930 2316 2319 2895 3092 3474 3860 3865 4632 4638 5790 6184 6948 6957 7720 7730 8685 9276 11580 11595 13896 13914 15460 17370 18552 23160 23190 27828 30920 34740 34785 46380 55656 69480 69570 92760 139140 149189 278280 298378 447567 596756 745945 895134 1193512 1342701 1491890 1790268 2237835 2685402 2983780 3580536 4475670 5370804 5967560 6713505 8951340 10741608 13427010 17902680 26854020 53708040