Search a number
-
+
53709570 = 2325371272
BaseRepresentation
bin1100110011100…
…0101100000010
310202001201200100
43030320230002
5102222201240
65155103230
71221344445
oct314705402
9122051610
1053709570
1128354882
1215ba1b16
13b186a15
1471c165c
154aade30
hex3338b02

53709570 has 72 divisors (see below), whose sum is σ = 144557244. Its totient is φ = 13825728.

The previous prime is 53709559. The next prime is 53709571. The reversal of 53709570 is 7590735.

It can be written as a sum of positive squares in 2 ways, for example, as 52403121 + 1306449 = 7239^2 + 1143^2 .

It is not an unprimeable number, because it can be changed into a prime (53709571) 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 35 ways as a sum of consecutive naturals, for example, 422847 + ... + 422973.

Almost surely, 253709570 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53709570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72278622).

53709570 is an abundant number, since it is smaller than the sum of its proper divisors (90847674).

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

53709570 is a wasteful number, since it uses less digits than its factorization.

53709570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 33075, while the sum is 36.

The square root of 53709570 is about 7328.6813274968. The cubic root of 53709570 is about 377.2974689519.

The spelling of 53709570 in words is "fifty-three million, seven hundred nine thousand, five hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 127 185 222 254 333 370 381 555 635 666 762 1110 1143 1270 1665 1905 2286 3330 3810 4699 5715 9398 11430 14097 16129 23495 28194 32258 42291 46990 48387 70485 80645 84582 96774 140970 145161 161290 211455 241935 290322 422910 483870 596773 725805 1193546 1451610 1790319 2983865 3580638 5370957 5967730 8951595 10741914 17903190 26854785 53709570