Search a number
-
+
942594380 = 2257213241307
BaseRepresentation
bin111000001011101…
…101100101001100
32102200122202101222
4320023231211030
53412301010010
6233311022512
732233630400
oct7013554514
92380582358
10942594380
11444085122
1222380aa38
1312038b070
148d287100
1557b42355
hex382ed94c

942594380 has 144 divisors (see below), whose sum is σ = 2498148576. Its totient is φ = 296110080.

The previous prime is 942594379. The next prime is 942594407. The reversal of 942594380 is 83495249.

942594380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3070187 + ... + 3070493.

It is an arithmetic number, because the mean of its divisors is an integer number (17348254).

Almost surely, 2942594380 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 942594380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249074288).

942594380 is an abundant number, since it is smaller than the sum of its proper divisors (1555554196).

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

942594380 is a wasteful number, since it uses less digits than its factorization.

942594380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The square root of 942594380 is about 30701.6999529342. The cubic root of 942594380 is about 980.4864931482.

The spelling of 942594380 in words is "nine hundred forty-two million, five hundred ninety-four thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 241 245 260 307 364 455 482 490 614 637 910 964 980 1205 1228 1274 1535 1687 1820 2149 2410 2548 3070 3133 3185 3374 3991 4298 4820 6140 6266 6370 6748 7982 8435 8596 10745 11809 12532 12740 15043 15665 15964 16870 19955 21490 21931 23618 27937 30086 31330 33740 39910 42980 43862 47236 55874 59045 60172 62660 73987 75215 79820 87724 109655 111748 118090 139685 147974 150430 153517 195559 219310 236180 279370 295948 300860 307034 369935 391118 438620 517909 558740 614068 739870 767585 782236 961831 977795 1035818 1479740 1535170 1923662 1955590 2071636 2589545 3070340 3625363 3847324 3911180 4809155 5179090 6732817 7250726 9618310 10358180 13465634 14501452 18126815 19236620 26931268 33664085 36253630 47129719 67328170 72507260 94259438 134656340 188518876 235648595 471297190 942594380