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1939769856 = 29365197
BaseRepresentation
bin111001110011110…
…1000101000000000
312000012000112000000
41303213220220000
512433040113411
6520252000000
766032525463
oct16347505000
95005015000
101939769856
11905a49892
12461760000
1324bb4971b
1414589b2da
15b5466956
hex739e8a00

1939769856 has 140 divisors (see below), whose sum is σ = 5812086522. Its totient is φ = 646465536.

The previous prime is 1939769827. The next prime is 1939769891. The reversal of 1939769856 is 6589679391.

It can be written as a sum of positive squares in only one way, i.e., 1684281600 + 255488256 = 41040^2 + 15984^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1939769793 and 1939769802.

It is an unprimeable number.

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 13 ways as a sum of consecutive naturals, for example, 370650 + ... + 375846.

Almost surely, 21939769856 is an apocalyptic number.

1939769856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1939769856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2906043261).

1939769856 is an abundant number, since it is smaller than the sum of its proper divisors (3872316666).

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

1939769856 is an frugal number, since it uses more digits than its factorization.

1939769856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5233 (or 5202 counting only the distinct ones).

The product of its digits is 22044960, while the sum is 63.

The square root of 1939769856 is about 44042.8184384242. The cubic root of 1939769856 is about 1247.1443839466.

It can be divided in two parts, 19397 and 69856, that added together give a triangular number (89253 = T422).

The spelling of 1939769856 in words is "one billion, nine hundred thirty-nine million, seven hundred sixty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 729 768 864 972 1152 1296 1458 1536 1728 1944 2304 2592 2916 3456 3888 4608 5184 5197 5832 6912 7776 10368 10394 11664 13824 15552 15591 20736 20788 23328 31104 31182 41472 41576 46656 46773 62208 62364 83152 93312 93546 124416 124728 140319 166304 186624 187092 249456 280638 332608 373248 374184 420957 498912 561276 665216 748368 841914 997824 1122552 1262871 1330432 1496736 1683828 1995648 2245104 2525742 2660864 2993472 3367656 3788613 3991296 4490208 5051484 5986944 6735312 7577226 7982592 8980416 10102968 11973888 13470624 15154452 17960832 20205936 23947776 26941248 30308904 35921664 40411872 53882496 60617808 71843328 80823744 107764992 121235616 161647488 215529984 242471232 323294976 484942464 646589952 969884928 1939769856