Search a number
-
+
521428032 = 26322339359
BaseRepresentation
bin11111000101000…
…101110001000000
31100100011021210100
4133011011301000
52031441144112
6123424002400
715631031226
oct3705056100
91310137710
10521428032
11248372664
12126760400
13840484c8
144d372b16
1530b9c2dc
hex1f145c40

521428032 has 84 divisors (see below), whose sum is σ = 1559600640. Its totient is φ = 166248192.

The previous prime is 521428031. The next prime is 521428043. The reversal of 521428032 is 230824125.

It is a junction number, because it is equal to n+sod(n) for n = 521427987 and 521428005.

It is not an unprimeable number, because it can be changed into a prime (521428031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6432 + ... + 32927.

Almost surely, 2521428032 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 521428032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779800320).

521428032 is an abundant number, since it is smaller than the sum of its proper divisors (1038172608).

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

521428032 is a wasteful number, since it uses less digits than its factorization.

521428032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39400 (or 39387 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 521428032 is about 22834.7987072363. The cubic root of 521428032 is about 804.8805974930.

The spelling of 521428032 in words is "five hundred twenty-one million, four hundred twenty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 138 144 184 192 207 276 288 368 414 552 576 736 828 1104 1472 1656 2208 3312 4416 6624 13248 39359 78718 118077 157436 236154 314872 354231 472308 629744 708462 905257 944616 1259488 1416924 1810514 1889232 2518976 2715771 2833848 3621028 3778464 5431542 5667696 7242056 7556928 8147313 10863084 11335392 14484112 16294626 21726168 22670784 28968224 32589252 43452336 57936448 65178504 86904672 130357008 173809344 260714016 521428032