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941028816 = 243713972221
BaseRepresentation
bin111000000101101…
…111010111010000
32102120201012212010
4320011233113100
53411400410231
6233213302520
732214420150
oct7005572720
92376635763
10941028816
11443205972
12223194a40
1311cc605b0
148cd9a760
1557933546
hex3816f5d0

941028816 has 160 divisors (see below), whose sum is σ = 3024195328. Its totient is φ = 245514240.

The previous prime is 941028811. The next prime is 941028841. The reversal of 941028816 is 618820149.

941028816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (941028811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 422586 + ... + 424806.

Almost surely, 2941028816 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 941028816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512097664).

941028816 is an abundant number, since it is smaller than the sum of its proper divisors (2083166512).

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

941028816 is a wasteful number, since it uses less digits than its factorization.

941028816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2349 (or 2343 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 941028816 is about 30676.1929841367. The cubic root of 941028816 is about 979.9433592143.

It can be divided in two parts, 9410 and 28816, that added together give a triangular number (38226 = T276).

The spelling of 941028816 in words is "nine hundred forty-one million, twenty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 97 104 112 156 168 182 194 208 273 291 312 336 364 388 546 582 624 679 728 776 1092 1164 1261 1358 1456 1552 2037 2184 2221 2328 2522 2716 3783 4074 4368 4442 4656 5044 5432 6663 7566 8148 8827 8884 10088 10864 13326 15132 15547 16296 17654 17768 20176 26481 26652 28873 30264 31094 32592 35308 35536 46641 52962 53304 57746 60528 62188 70616 86619 93282 105924 106608 115492 124376 141232 173238 186564 202111 211848 215437 230984 248752 346476 373128 404222 423696 430874 461968 606333 646311 692952 746256 808444 861748 1212666 1292622 1385904 1508059 1616888 1723496 2425332 2585244 2800681 3016118 3233776 3446992 4524177 4850664 5170488 5601362 6032236 8402043 9048354 9701328 10340976 11202724 12064472 16804086 18096708 19604767 22405448 24128944 33608172 36193416 39209534 44810896 58814301 67216344 72386832 78419068 117628602 134432688 156838136 235257204 313676272 470514408 941028816