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39948768 = 253346237
BaseRepresentation
bin1001100001100…
…1000111100000
32210011121102000
42120121013200
540211330033
63544124000
7663362466
oct230310740
983147360
1039948768
1120606112
1211466600
138379432
14543c836
153791a13
hex26191e0

39948768 has 48 divisors (see below), whose sum is σ = 116519760. Its totient is φ = 13315968.

The previous prime is 39948767. The next prime is 39948787. The reversal of 39948768 is 86784993.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39948761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22255 + ... + 23982.

It is an arithmetic number, because the mean of its divisors is an integer number (2427495).

Almost surely, 239948768 is an apocalyptic number.

It is an amenable number.

39948768 is an abundant number, since it is smaller than the sum of its proper divisors (76570992).

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

39948768 is a wasteful number, since it uses less digits than its factorization.

39948768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46256 (or 46242 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 39948768 is about 6320.5037773899. The cubic root of 39948768 is about 341.8491178086.

The spelling of 39948768 in words is "thirty-nine million, nine hundred forty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 46237 92474 138711 184948 277422 369896 416133 554844 739792 832266 1109688 1248399 1479584 1664532 2219376 2496798 3329064 4438752 4993596 6658128 9987192 13316256 19974384 39948768