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1315229472 = 253221372
BaseRepresentation
bin100111001100100…
…1100111100100000
310101122211120122200
41032121030330200
510143144320342
6334301533200
744410160154
oct11631147440
93348746580
101315229472
1161545a407
12308574200
1317c63abbb
14c6967064
157a6ec94c
hex4e64cf20

1315229472 has 54 divisors (see below), whose sum is σ = 3741934833. Its totient is φ = 438204672.

The previous prime is 1315229471. The next prime is 1315229477. The reversal of 1315229472 is 2749225131.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1315229472 is a `hidden beast` number, since 13 + 152 + 29 + 472 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 931226256 + 384003216 = 30516^2 + 19596^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=25644.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1315229471) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 614388 + ... + 616524.

Almost surely, 21315229472 is an apocalyptic number.

1315229472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1315229472 is an abundant number, since it is smaller than the sum of its proper divisors (2426705361).

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

1315229472 is an frugal number, since it uses more digits than its factorization.

1315229472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4290 (or 2142 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 1315229472 is about 36266.0925934956. The cubic root of 1315229472 is about 1095.6382292944.

It can be divided in two parts, 13152 and 29472, that added together give a palindrome (42624).

The spelling of 1315229472 in words is "one billion, three hundred fifteen million, two hundred twenty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2137 4274 6411 8548 12822 17096 19233 25644 34192 38466 51288 68384 76932 102576 153864 205152 307728 615456 4566769 9133538 13700307 18267076 27400614 36534152 41100921 54801228 73068304 82201842 109602456 146136608 164403684 219204912 328807368 438409824 657614736 1315229472