Search a number
-
+
1528740396 = 223237231019
BaseRepresentation
bin101101100011110…
…1011101000101100
310221112121001120200
41123013223220230
511112324143041
6411410113500
752612036041
oct13307535054
93845531520
101528740396
11714a30317
12367b7b890
131b4945b21
141070651c8
158e3251b6
hex5b1eba2c

1528740396 has 54 divisors (see below), whose sum is σ = 3971707740. Its totient is φ = 495791712.

The previous prime is 1528740373. The next prime is 1528740401. The reversal of 1528740396 is 6930478251.

1528740396 is a `hidden beast` number, since 152 + 8 + 7 + 403 + 96 = 666.

1528740396 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

1528740396 is strictly pandigital in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 33775 + ... + 64793.

It is a 1-persistent number, because it is pandigital, but 2⋅1528740396 = 3057480792 is not.

It is a vampire number, since it can be written as 1642893057 (with its own digits).

Almost surely, 21528740396 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 1528740396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985853870).

1528740396 is an abundant number, since it is smaller than the sum of its proper divisors (2442967344).

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

1528740396 is a wasteful number, since it uses less digits than its factorization.

1528740396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31103 (or 31061 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1528740396 is about 39099.1099131425. The cubic root of 1528740396 is about 1151.9790487364.

The spelling of 1528740396 in words is "one billion, five hundred twenty-eight million, seven hundred forty thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 1369 2738 4107 5476 8214 12321 16428 24642 31019 49284 62038 93057 124076 186114 279171 372228 558342 1116684 1147703 2295406 3443109 4590812 6886218 10329327 13772436 20658654 41317308 42465011 84930022 127395033 169860044 254790066 382185099 509580132 764370198 1528740396