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39379920 = 2435316779
BaseRepresentation
bin1001011000111…
…0001111010000
32202002201002120
42112032033100
540040124140
63524014240
7655503156
oct226161720
982081076
1039379920
1120257798
1211231380
13820a538
1453313d6
1536cd1d0
hex258e3d0

39379920 has 160 divisors (see below), whose sum is σ = 129515520. Its totient is φ = 9884160.

The previous prime is 39379867. The next prime is 39379927. The reversal of 39379920 is 2997393.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39379927) 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, 498441 + ... + 498519.

It is an arithmetic number, because the mean of its divisors is an integer number (809472).

Almost surely, 239379920 is an apocalyptic number.

39379920 is a gapful number since it is divisible by the number (30) 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 39379920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64757760).

39379920 is an abundant number, since it is smaller than the sum of its proper divisors (90135600).

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

39379920 is a wasteful number, since it uses less digits than its factorization.

39379920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 91854, while the sum is 42.

The square root of 39379920 is about 6275.3422217438. The cubic root of 39379920 is about 340.2187749994.

The spelling of 39379920 in words is "thirty-nine million, three hundred seventy-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 67 79 80 93 120 124 134 155 158 186 201 237 240 248 268 310 316 335 372 395 402 465 474 496 536 620 632 670 744 790 804 930 948 1005 1072 1185 1240 1264 1340 1488 1580 1608 1860 1896 2010 2077 2370 2449 2480 2680 3160 3216 3720 3792 4020 4154 4740 4898 5293 5360 6231 6320 7347 7440 8040 8308 9480 9796 10385 10586 12245 12462 14694 15879 16080 16616 18960 19592 20770 21172 24490 24924 26465 29388 31155 31758 33232 36735 39184 41540 42344 48980 49848 52930 58776 62310 63516 73470 79395 83080 84688 97960 99696 105860 117552 124620 127032 146940 158790 164083 166160 195920 211720 249240 254064 293880 317580 328166 423440 492249 498480 587760 635160 656332 820415 984498 1270320 1312664 1640830 1968996 2461245 2625328 3281660 3937992 4922490 6563320 7875984 9844980 13126640 19689960 39379920