Search a number
-
+
40503528 = 233213109397
BaseRepresentation
bin1001101010000…
…0100011101000
32211012210101200
42122200203220
540332103103
64004044200
71001163042
oct232404350
984183350
1040503528
112095499a
1211693660
138511ab0
145544a92
1538510a3
hex26a08e8

40503528 has 96 divisors (see below), whose sum is σ = 119519400. Its totient is φ = 12317184.

The previous prime is 40503527. The next prime is 40503553. The reversal of 40503528 is 82530504.

It can be written as a sum of positive squares in 4 ways, for example, as 34363044 + 6140484 = 5862^2 + 2478^2 .

It is not an unprimeable number, because it can be changed into a prime (40503521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101826 + ... + 102222.

Almost surely, 240503528 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 40503528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59759700).

40503528 is an abundant number, since it is smaller than the sum of its proper divisors (79015872).

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

40503528 is a wasteful number, since it uses less digits than its factorization.

40503528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 40503528 is about 6364.2382105009. The cubic root of 40503528 is about 343.4242442094.

It can be divided in two parts, 4050 and 3528, that multiplied together give a square (14288400 = 37802).

The spelling of 40503528 in words is "forty million, five hundred three thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 109 117 156 218 234 312 327 397 436 468 654 794 872 936 981 1191 1308 1417 1588 1962 2382 2616 2834 3176 3573 3924 4251 4764 5161 5668 7146 7848 8502 9528 10322 11336 12753 14292 15483 17004 20644 25506 28584 30966 34008 41288 43273 46449 51012 61932 86546 92898 102024 123864 129819 173092 185796 259638 346184 371592 389457 519276 562549 778914 1038552 1125098 1557828 1687647 2250196 3115656 3375294 4500392 5062941 6750588 10125882 13501176 20251764 40503528