Search a number
-
+
1528388420 = 225135878417
BaseRepresentation
bin101101100011001…
…0101101101000100
310221111221011202112
41123012111231010
511112231412140
6411354400152
752606041626
oct13306255504
93844834675
101528388420
1171480a929
12367a30058
131b4851860
14106db2c16
158e2a5c65
hex5b195b44

1528388420 has 24 divisors (see below), whose sum is σ = 3456509784. Its totient is φ = 564327936.

The previous prime is 1528388413. The next prime is 1528388429. The reversal of 1528388420 is 248838251.

It can be written as a sum of positive squares in 4 ways, for example, as 137545984 + 1390842436 = 11728^2 + 37294^2 .

It is not an unprimeable number, because it can be changed into a prime (1528388429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2938949 + ... + 2939468.

It is an arithmetic number, because the mean of its divisors is an integer number (144021241).

Almost surely, 21528388420 is an apocalyptic number.

1528388420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1528388420 is an abundant number, since it is smaller than the sum of its proper divisors (1928121364).

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

1528388420 is a wasteful number, since it uses less digits than its factorization.

1528388420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5878439 (or 5878437 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 41.

The square root of 1528388420 is about 39094.6085797006. The cubic root of 1528388420 is about 1151.8906316969.

The spelling of 1528388420 in words is "one billion, five hundred twenty-eight million, three hundred eighty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 5878417 11756834 23513668 29392085 58784170 76419421 117568340 152838842 305677684 382097105 764194210 1528388420