Search a number
-
+
5295528 = 2332721979
BaseRepresentation
bin10100001100110110101000
3100222001002200
4110030312220
52323424103
6305300200
763003600
oct24146650
910861080
105295528
112a97677
121934660
131135464
149bbc00
156e90a3
hex50cda8

5295528 has 144 divisors (see below), whose sum is σ = 17784000. Its totient is φ = 1415232.

The previous prime is 5295527. The next prime is 5295529. The reversal of 5295528 is 8255925.

It is an interprime number because it is at equal distance from previous prime (5295527) and next prime (5295529).

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

It is a d-powerful number, because it can be written as 55 + 214 + 95 + 59 + 59 + 220 + 86 .

It is a junction number, because it is equal to n+sod(n) for n = 5295492 and 5295501.

It is not an unprimeable number, because it can be changed into a prime (5295527) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66993 + ... + 67071.

It is an arithmetic number, because the mean of its divisors is an integer number (123500).

Almost surely, 25295528 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 5295528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8892000).

5295528 is an abundant number, since it is smaller than the sum of its proper divisors (12488472).

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

5295528 is a wasteful number, since it uses less digits than its factorization.

5295528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 110 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The square root of 5295528 is about 2301.2014253429. The cubic root of 5295528 is about 174.3022886427.

The spelling of 5295528 in words is "five million, two hundred ninety-five thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 49 56 57 63 72 76 79 84 98 114 126 133 147 152 158 168 171 196 228 237 252 266 294 316 342 392 399 441 456 474 504 532 553 588 632 684 711 798 882 931 948 1064 1106 1176 1197 1368 1422 1501 1596 1659 1764 1862 1896 2212 2394 2793 2844 3002 3192 3318 3528 3724 3871 4424 4503 4788 4977 5586 5688 6004 6636 7448 7742 8379 9006 9576 9954 10507 11172 11613 12008 13272 13509 15484 16758 18012 19908 21014 22344 23226 27018 30968 31521 33516 34839 36024 39816 42028 46452 54036 63042 67032 69678 73549 84056 92904 94563 108072 126084 139356 147098 189126 220647 252168 278712 294196 378252 441294 588392 661941 756504 882588 1323882 1765176 2647764 5295528