Search a number
-
+
2030858592 = 253712292459
BaseRepresentation
bin111100100001100…
…0111000101100000
312020112102022020220
41321003013011200
513124344433332
6533304203040
7101220004350
oct17103070540
95215368226
102030858592
11952404134
12488169480
13264990099
14153a0cb60
15bd45ad2c
hex790c7160

2030858592 has 96 divisors (see below), whose sum is σ = 6100012800. Its totient is φ = 579537408.

The previous prime is 2030858569. The next prime is 2030858597. The reversal of 2030858592 is 2958580302.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2030858597) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 824659 + ... + 827117.

It is an arithmetic number, because the mean of its divisors is an integer number (63541800).

Almost surely, 22030858592 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 2030858592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3050006400).

2030858592 is an abundant number, since it is smaller than the sum of its proper divisors (4069154208).

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

2030858592 is a wasteful number, since it uses less digits than its factorization.

2030858592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3708 (or 3700 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 2030858592 is about 45065.0484522096. The cubic root of 2030858592 is about 1266.3679041762.

The spelling of 2030858592 in words is "two billion, thirty million, eight hundred fifty-eight thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1229 2458 2459 3687 4916 4918 7374 7377 8603 9832 9836 14748 14754 17206 17213 19664 19672 25809 29496 29508 34412 34426 39328 39344 51618 51639 58992 59016 68824 68852 78688 103236 103278 117984 118032 137648 137704 206472 206556 236064 275296 275408 412944 413112 550816 825888 826224 1652448 3022111 6044222 9066333 12088444 18132666 21154777 24176888 36265332 42309554 48353776 63464331 72530664 84619108 96707552 126928662 145061328 169238216 253857324 290122656 338476432 507714648 676952864 1015429296 2030858592