Search a number
-
+
528045264 = 24331964333
BaseRepresentation
bin11111011110010…
…101010011010000
31100210121110221000
4133132111103100
52040134422024
6124221502000
716041211365
oct3736252320
91323543830
10528045264
1125108224a
12128a11900
1385524426
14501b646c
1531557cc9
hex1f7954d0

528045264 has 80 divisors (see below), whose sum is σ = 1595483200. Its totient is φ = 166748544.

The previous prime is 528045257. The next prime is 528045317. The reversal of 528045264 is 462540825.

It is a happy number.

528045264 is a `hidden beast` number, since 52 + 80 + 4 + 526 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23959 + ... + 40374.

It is an arithmetic number, because the mean of its divisors is an integer number (19943540).

Almost surely, 2528045264 is an apocalyptic number.

528045264 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

528045264 is an abundant number, since it is smaller than the sum of its proper divisors (1067437936).

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

528045264 is a wasteful number, since it uses less digits than its factorization.

528045264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64369 (or 64357 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 528045264 is about 22979.2354964215. The cubic root of 528045264 is about 808.2710997635.

The spelling of 528045264 in words is "five hundred twenty-eight million, forty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 2052 2736 4104 8208 64333 128666 192999 257332 385998 514664 578997 771996 1029328 1157994 1222327 1543992 1736991 2315988 2444654 3087984 3473982 3666981 4631976 4889308 6947964 7333962 9263952 9778616 11000943 13895928 14667924 19557232 22001886 27791856 29335848 33002829 44003772 58671696 66005658 88007544 132011316 176015088 264022632 528045264