Search a number
-
+
1538309952 = 26322670677
BaseRepresentation
bin101101110110000…
…1011111101000000
310222012121020112200
41123230023331000
511122301404302
6412351153200
753056263444
oct13354137500
93865536480
101538309952
1171a377043
1236b215800
131b691679a
14108436824
15900b581c
hex5bb0bf40

1538309952 has 42 divisors (see below), whose sum is σ = 4409289378. Its totient is φ = 512769792.

The previous prime is 1538309951. The next prime is 1538309963. The reversal of 1538309952 is 2599038351.

It can be written as a sum of positive squares in only one way, i.e., 1491195456 + 47114496 = 38616^2 + 6864^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1538309898 and 1538309907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1538309951) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1334763 + ... + 1335914.

Almost surely, 21538309952 is an apocalyptic number.

1538309952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1538309952 is an abundant number, since it is smaller than the sum of its proper divisors (2870979426).

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

1538309952 is a wasteful number, since it uses less digits than its factorization.

1538309952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2670695 (or 2670682 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 1538309952 is about 39221.2946242217. The cubic root of 1538309952 is about 1154.3777566984.

The spelling of 1538309952 in words is "one billion, five hundred thirty-eight million, three hundred nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 2670677 5341354 8012031 10682708 16024062 21365416 24036093 32048124 42730832 48072186 64096248 85461664 96144372 128192496 170923328 192288744 256384992 384577488 512769984 769154976 1538309952