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39213072 = 243479383
BaseRepresentation
bin1001010110010…
…1100000010000
32201210020020000
42111211200100
540014304242
63520250000
7654206553
oct225454020
981706200
1039213072
11201533a8
1211170900
13817c602
1452ca69a
153698a4c
hex2565810

39213072 has 100 divisors (see below), whose sum is σ = 115230720. Its totient is φ = 12871872.

The previous prime is 39213071. The next prime is 39213089. The reversal of 39213072 is 27031293.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (39213071) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 102193 + ... + 102575.

Almost surely, 239213072 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 39213072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57615360).

39213072 is an abundant number, since it is smaller than the sum of its proper divisors (76017648).

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

39213072 is a wasteful number, since it uses less digits than its factorization.

39213072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 39213072 is about 6262.0341742919. The cubic root of 39213072 is about 339.7376060856.

The spelling of 39213072 in words is "thirty-nine million, two hundred thirteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 79 81 108 144 158 162 216 237 316 324 383 432 474 632 648 711 766 948 1149 1264 1296 1422 1532 1896 2133 2298 2844 3064 3447 3792 4266 4596 5688 6128 6399 6894 8532 9192 10341 11376 12798 13788 17064 18384 20682 25596 27576 30257 31023 34128 41364 51192 55152 60514 62046 82728 90771 102384 121028 124092 165456 181542 242056 248184 272313 363084 484112 496368 544626 726168 816939 1089252 1452336 1633878 2178504 2450817 3267756 4357008 4901634 6535512 9803268 13071024 19606536 39213072