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39052096 = 262953397
BaseRepresentation
bin1001010011111…
…0001101000000
32201111001101221
42110332031000
534444131341
63513004424
7652636336
oct224761500
981431357
1039052096
1120053466
12110b3714
138124265
145287b56
153665ed1
hex253e340

39052096 has 56 divisors (see below), whose sum is σ = 81884520. Its totient is φ = 18450432.

The previous prime is 39052093. The next prime is 39052109. The reversal of 39052096 is 69025093.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12673600 + 26378496 = 3560^2 + 5136^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39052093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98170 + ... + 98566.

Almost surely, 239052096 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 39052096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40942260).

39052096 is an abundant number, since it is smaller than the sum of its proper divisors (42832424).

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

39052096 is a wasteful number, since it uses less digits than its factorization.

39052096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 34.

The square root of 39052096 is about 6249.1676245721. The cubic root of 39052096 is about 339.2720758786.

The spelling of 39052096 in words is "thirty-nine million, fifty-two thousand, ninety-six".

Divisors: 1 2 4 8 16 29 32 53 58 64 106 116 212 232 397 424 464 794 848 928 1537 1588 1696 1856 3074 3176 3392 6148 6352 11513 12296 12704 21041 23026 24592 25408 42082 46052 49184 84164 92104 98368 168328 184208 336656 368416 610189 673312 736832 1220378 1346624 2440756 4881512 9763024 19526048 39052096