Search a number
-
+
53719992 = 233219107367
BaseRepresentation
bin1100110011101…
…1001110111000
310202002020222100
43030323032320
5102223014432
65155223400
71221420024
oct314731670
9122066870
1053719992
1128361697
1215ba7b60
13b18b6a1
1471c5384
154ab207c
hex333b3b8

53719992 has 96 divisors (see below), whose sum is σ = 155001600. Its totient is φ = 16759872.

The previous prime is 53719987. The next prime is 53720047. The reversal of 53719992 is 29991735.

It is a happy number.

It is a congruent number.

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, 146193 + ... + 146559.

It is an arithmetic number, because the mean of its divisors is an integer number (1614600).

Almost surely, 253719992 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 53719992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77500800).

53719992 is an abundant number, since it is smaller than the sum of its proper divisors (101281608).

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

53719992 is a wasteful number, since it uses less digits than its factorization.

53719992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 498 counting only the distinct ones).

The product of its digits is 153090, while the sum is 45.

The square root of 53719992 is about 7329.3923349757. The cubic root of 53719992 is about 377.3218714306.

The spelling of 53719992 in words is "fifty-three million, seven hundred nineteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 107 114 152 171 214 228 321 342 367 428 456 642 684 734 856 963 1101 1284 1368 1468 1926 2033 2202 2568 2936 3303 3852 4066 4404 6099 6606 6973 7704 8132 8808 12198 13212 13946 16264 18297 20919 24396 26424 27892 36594 39269 41838 48792 55784 62757 73188 78538 83676 117807 125514 146376 157076 167352 235614 251028 314152 353421 471228 502056 706842 746111 942456 1413684 1492222 2238333 2827368 2984444 4476666 5968888 6714999 8953332 13429998 17906664 26859996 53719992