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642639348 = 2232131373161
BaseRepresentation
bin100110010011011…
…110010111110100
31122210020110110100
4212103132113310
52304003424343
6143433554100
721632226051
oct4623362764
91583213410
10642639348
112aa8314aa
1215b275930
13a31a7890
14614c6028
153b6419d3
hex264de5f4

642639348 has 36 divisors (see below), whose sum is σ = 1749408388. Its totient is φ = 197735040.

The previous prime is 642639329. The next prime is 642639353. The reversal of 642639348 is 843936246.

642639348 is a `hidden beast` number, since 6 + 4 + 2 + 639 + 3 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 181764324 + 460875024 = 13482^2 + 21468^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 686113 + ... + 687048.

Almost surely, 2642639348 is an apocalyptic number.

It is an amenable number.

642639348 is an abundant number, since it is smaller than the sum of its proper divisors (1106769040).

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

642639348 is a wasteful number, since it uses less digits than its factorization.

642639348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373184 (or 1373179 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 642639348 is about 25350.3323055143. The cubic root of 642639348 is about 862.9568976825.

The spelling of 642639348 in words is "six hundred forty-two million, six hundred thirty-nine thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 1373161 2746322 4119483 5492644 8238966 12358449 16477932 17851093 24716898 35702186 49433796 53553279 71404372 107106558 160659837 214213116 321319674 642639348