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642019326 = 231343672857
BaseRepresentation
bin100110010001000…
…110111111111110
31122202001221221120
4212101012333332
52303324104301
6143412411410
721624034314
oct4621067776
91582057846
10642019326
112aa448693
1215b016b66
13a301b5c0
14613a40b4
153b56ce36
hex26446ffe

642019326 has 64 divisors (see below), whose sum is σ = 1436590848. Its totient is φ = 190003968.

The previous prime is 642019321. The next prime is 642019349. The reversal of 642019326 is 623910246.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642019321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223290 + ... + 226146.

It is an arithmetic number, because the mean of its divisors is an integer number (22446732).

Almost surely, 2642019326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642019326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718295424).

642019326 is an abundant number, since it is smaller than the sum of its proper divisors (794571522).

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

642019326 is a wasteful number, since it uses less digits than its factorization.

642019326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2985.

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 642019326 is about 25338.1002839597. The cubic root of 642019326 is about 862.6792798504.

The spelling of 642019326 in words is "six hundred forty-two million, nineteen thousand, three hundred twenty-six".

Divisors: 1 2 3 6 13 26 39 43 67 78 86 129 134 201 258 402 559 871 1118 1677 1742 2613 2857 2881 3354 5226 5714 5762 8571 8643 17142 17286 37141 37453 74282 74906 111423 112359 122851 191419 222846 224718 245702 368553 382838 574257 737106 1148514 1597063 2488447 3194126 4791189 4976894 7465341 8231017 9582378 14930682 16462034 24693051 49386102 107003221 214006442 321009663 642019326