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1242361792 = 26719114519
BaseRepresentation
bin100101000001100…
…1110111111000000
310012120201111222201
41022003032333000
510021021034132
6323140042544
742533621020
oct11203167700
93176644881
101242361792
1158830a891
122a8093454
1316a507029
14badd9a80
15741072e7
hex4a0cefc0

1242361792 has 56 divisors (see below), whose sum is σ = 2832445440. Its totient is φ = 529616640.

The previous prime is 1242361789. The next prime is 1242361801. The reversal of 1242361792 is 2971632421.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78309 + ... + 92827.

Almost surely, 21242361792 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 1242361792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416222720).

1242361792 is an abundant number, since it is smaller than the sum of its proper divisors (1590083648).

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

1242361792 is a wasteful number, since it uses less digits than its factorization.

1242361792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14729 (or 14719 counting only the distinct ones).

The product of its digits is 36288, while the sum is 37.

The square root of 1242361792 is about 35247.1529630409. The cubic root of 1242361792 is about 1075.0187246062.

The spelling of 1242361792 in words is "one billion, two hundred forty-two million, three hundred sixty-one thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 191 224 382 448 764 1337 1528 2674 3056 5348 6112 10696 12224 14519 21392 29038 42784 58076 85568 101633 116152 203266 232304 406532 464608 813064 929216 1626128 2773129 3252256 5546258 6504512 11092516 19411903 22185032 38823806 44370064 77647612 88740128 155295224 177480256 310590448 621180896 1242361792