Search a number
-
+
53865264 = 2432397503
BaseRepresentation
bin1100110101111…
…0101100110000
310202100122020210
43031132230300
5102242142024
65202304120
71222563405
oct315365460
9122318223
1053865264
1128450852
1216058040
13b20c84b
1472222ac
154ae0129
hex335eb30

53865264 has 80 divisors (see below), whose sum is σ = 146990592. Its totient is φ = 16963584.

The previous prime is 53865263. The next prime is 53865269. The reversal of 53865264 is 46256835.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53865263) 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, 106837 + ... + 107339.

Almost surely, 253865264 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 53865264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73495296).

53865264 is an abundant number, since it is smaller than the sum of its proper divisors (93125328).

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

53865264 is a wasteful number, since it uses less digits than its factorization.

53865264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 628 counting only the distinct ones).

The product of its digits is 172800, while the sum is 39.

The square root of 53865264 is about 7339.2958790336. The cubic root of 53865264 is about 377.6616888464.

The spelling of 53865264 in words is "fifty-three million, eight hundred sixty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 97 138 184 194 276 291 368 388 503 552 582 776 1006 1104 1164 1509 1552 2012 2231 2328 3018 4024 4462 4656 6036 6693 8048 8924 11569 12072 13386 17848 23138 24144 26772 34707 35696 46276 48791 53544 69414 92552 97582 107088 138828 146373 185104 195164 277656 292746 390328 555312 585492 780656 1122193 1170984 2244386 2341968 3366579 4488772 6733158 8977544 13466316 17955088 26932632 53865264