Search a number
-
+
642539604 = 223731443557
BaseRepresentation
bin100110010011000…
…110000001010100
31122210001101122010
4212103012001110
52303442231404
6143431504220
721631332210
oct4623060124
91583041563
10642539604
112aa773573
1215b228070
13a3171365
146149b940
153b622189
hex264c6054

642539604 has 96 divisors (see below), whose sum is σ = 1775886336. Its totient is φ = 176941440.

The previous prime is 642539539. The next prime is 642539629. The reversal of 642539604 is 406935246.

It is a congruent number.

It is an unprimeable number.

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, 1153294 + ... + 1153850.

It is an arithmetic number, because the mean of its divisors is an integer number (18498816).

Almost surely, 2642539604 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 642539604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887943168).

642539604 is an abundant number, since it is smaller than the sum of its proper divisors (1133346732).

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

642539604 is a wasteful number, since it uses less digits than its factorization.

642539604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 642539604 is about 25348.3649176826. The cubic root of 642539604 is about 862.9122488829.

The spelling of 642539604 in words is "six hundred forty-two million, five hundred thirty-nine thousand, six hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 443 557 651 868 886 1114 1302 1329 1671 1772 2228 2604 2658 3101 3342 3899 5316 6202 6684 7798 9303 11697 12404 13733 15596 17267 18606 23394 27466 34534 37212 41199 46788 51801 54932 69068 82398 96131 103602 120869 164796 192262 207204 241738 246751 288393 362607 384524 483476 493502 576786 725214 740253 987004 1153572 1450428 1480506 1727257 2961012 3454514 5181771 6909028 7649281 10363542 15298562 20727084 22947843 30597124 45895686 53544967 91791372 107089934 160634901 214179868 321269802 642539604