Search a number
-
+
39196416 = 283723317
BaseRepresentation
bin1001010110000…
…1011100000000
32201202101101010
42111201130000
540013241131
63520040520
7654110160
oct225413400
981671333
1039196416
1120141936
1211163140
138174b5c
1452c45a0
153693b46
hex2561700

39196416 has 144 divisors (see below), whose sum is σ = 124798464. Its totient is φ = 10678272.

The previous prime is 39196397. The next prime is 39196427. The reversal of 39196416 is 61469193.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123490 + ... + 123806.

It is an arithmetic number, because the mean of its divisors is an integer number (866656).

Almost surely, 239196416 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 39196416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62399232).

39196416 is an abundant number, since it is smaller than the sum of its proper divisors (85602048).

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

39196416 is a wasteful number, since it uses less digits than its factorization.

39196416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 352 counting only the distinct ones).

The product of its digits is 34992, while the sum is 39.

The square root of 39196416 is about 6260.7041137559. The cubic root of 39196416 is about 339.6894973755.

The spelling of 39196416 in words is "thirty-nine million, one hundred ninety-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 128 138 161 168 184 192 224 256 276 317 322 336 368 384 448 483 552 634 644 672 736 768 896 951 966 1104 1268 1288 1344 1472 1792 1902 1932 2208 2219 2536 2576 2688 2944 3804 3864 4416 4438 5072 5152 5376 5888 6657 7291 7608 7728 8832 8876 10144 10304 13314 14582 15216 15456 17664 17752 20288 20608 21873 26628 29164 30432 30912 35504 40576 41216 43746 51037 53256 58328 60864 61824 71008 81152 87492 102074 106512 116656 121728 123648 142016 153111 174984 204148 213024 233312 243456 284032 306222 349968 408296 426048 466624 568064 612444 699936 816592 852096 933248 1224888 1399872 1633184 1704192 1866496 2449776 2799744 3266368 4899552 5599488 6532736 9799104 13065472 19598208 39196416