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642576732 = 223719457881
BaseRepresentation
bin100110010011001…
…111000101011100
31122210010021120020
4212103033011130
52303444423412
6143432352140
721631545360
oct4623170534
91583107506
10642576732
112aa799456
1215b245650
13a3185225
14614ab2a0
153b62d18c
hex264cf15c

642576732 has 96 divisors (see below), whose sum is σ = 1809722880. Its totient is φ = 173352960.

The previous prime is 642576721. The next prime is 642576811. The reversal of 642576732 is 237675246.

642576732 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 728932 + ... + 729812.

It is an arithmetic number, because the mean of its divisors is an integer number (18851280).

Almost surely, 2642576732 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 642576732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904861440).

642576732 is an abundant number, since it is smaller than the sum of its proper divisors (1167146148).

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

642576732 is a wasteful number, since it uses less digits than its factorization.

642576732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1369 counting only the distinct ones).

The product of its digits is 423360, while the sum is 42.

The square root of 642576732 is about 25349.0972620328. The cubic root of 642576732 is about 862.9288691756.

The spelling of 642576732 in words is "six hundred forty-two million, five hundred seventy-six thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 457 532 798 881 914 1371 1596 1762 1828 2643 2742 3199 3524 5286 5484 6167 6398 8683 9597 10572 12334 12796 16739 17366 18501 19194 24668 26049 33478 34732 37002 38388 50217 52098 60781 66956 74004 100434 104196 117173 121562 182343 200868 234346 243124 351519 364686 402617 468692 703038 729372 805234 1207851 1406076 1610468 2415702 2818319 4831404 5636638 7649723 8454957 11273276 15299446 16909914 22949169 30598892 33819828 45898338 53548061 91796676 107096122 160644183 214192244 321288366 642576732