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1429632648 = 233219856009
BaseRepresentation
bin101010100110110…
…0111011010001000
310200122002212022100
41111031213122020
510411441221043
6353505553400
750266451133
oct12515473210
93618085270
101429632648
11673a99194
1233a945860
1319a2554a2
14d7c2721a
1585799cd3
hex55367688

1429632648 has 24 divisors (see below), whose sum is σ = 3871921950. Its totient is φ = 476544192.

The previous prime is 1429632647. The next prime is 1429632683. The reversal of 1429632648 is 8462369241.

1429632648 is a `hidden beast` number, since 1 + 4 + 2 + 9 + 632 + 6 + 4 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1193149764 + 236482884 = 34542^2 + 15378^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1429632647) 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, 9927933 + ... + 9928076.

Almost surely, 21429632648 is an apocalyptic number.

1429632648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1429632648 is an abundant number, since it is smaller than the sum of its proper divisors (2442289302).

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

1429632648 is a wasteful number, since it uses less digits than its factorization.

1429632648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19856021 (or 19856014 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 1429632648 is about 37810.4833082044. The cubic root of 1429632648 is about 1126.5266905141.

The spelling of 1429632648 in words is "one billion, four hundred twenty-nine million, six hundred thirty-two thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 19856009 39712018 59568027 79424036 119136054 158848072 178704081 238272108 357408162 476544216 714816324 1429632648