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39298968 = 23321797331
BaseRepresentation
bin1001010111101…
…0011110011000
32201221121001100
42111322132120
540030031333
63522151400
7655015152
oct225723630
981847040
1039298968
1120201995
12111b2560
1381ac737
14530dad2
1536b4213
hex257a798

39298968 has 96 divisors (see below), whose sum is σ = 114201360. Its totient is φ = 12165120.

The previous prime is 39298967. The next prime is 39298981. The reversal of 39298968 is 86989293.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39298967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118563 + ... + 118893.

Almost surely, 239298968 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 39298968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57100680).

39298968 is an abundant number, since it is smaller than the sum of its proper divisors (74902392).

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

39298968 is a wasteful number, since it uses less digits than its factorization.

39298968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 450 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 39298968 is about 6268.8888967663. Note that the first 4 decimals coincide. The cubic root of 39298968 is about 339.9854895768.

The spelling of 39298968 in words is "thirty-nine million, two hundred ninety-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 97 102 136 153 194 204 291 306 331 388 408 582 612 662 776 873 993 1164 1224 1324 1649 1746 1986 2328 2648 2979 3298 3492 3972 4947 5627 5958 6596 6984 7944 9894 11254 11916 13192 14841 16881 19788 22508 23832 29682 32107 33762 39576 45016 50643 59364 64214 67524 96321 101286 118728 128428 135048 192642 202572 256856 288963 385284 405144 545819 577926 770568 1091638 1155852 1637457 2183276 2311704 3274914 4366552 4912371 6549828 9824742 13099656 19649484 39298968