Search a number
-
+
642910254 = 237711671291
BaseRepresentation
bin100110010100100…
…000100000101110
31122210202020001220
4212110200200232
52304041112004
6143443444210
721634434630
oct4624404056
91583666056
10642910254
112aa9a6a98
1215b386666
13a3270c8c
1461556a50
153b696dd9
hex2652082e

642910254 has 64 divisors (see below), whose sum is σ = 1500291072. Its totient is φ = 179877600.

The previous prime is 642910253. The next prime is 642910319. The reversal of 642910254 is 452019246.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642910253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 497349 + ... + 498639.

It is an arithmetic number, because the mean of its divisors is an integer number (23442048).

Almost surely, 2642910254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642910254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750145536).

642910254 is an abundant number, since it is smaller than the sum of its proper divisors (857380818).

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

642910254 is a wasteful number, since it uses less digits than its factorization.

642910254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541.

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 642910254 is about 25355.6749860855. The cubic root of 642910254 is about 863.0781410930.

The spelling of 642910254 in words is "six hundred forty-two million, nine hundred ten thousand, two hundred fifty-four".

Divisors: 1 2 3 6 7 14 21 42 71 142 167 213 334 426 497 501 994 1002 1169 1291 1491 2338 2582 2982 3507 3873 7014 7746 9037 11857 18074 23714 27111 35571 54222 71142 82999 91661 165998 183322 215597 248997 274983 431194 497994 549966 641627 646791 1283254 1293582 1509179 1924881 3018358 3849762 4527537 9055074 15307387 30614774 45922161 91844322 107151709 214303418 321455127 642910254