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38435696 = 2413414507
BaseRepresentation
bin1001001010011…
…1101101110000
32200022201212022
42102213231300
534314420241
63451451012
7644461265
oct222475560
980281768
1038435696
111a772342
1210a56a68
137c69820
14516726c
15359354b
hex24a7b70

38435696 has 40 divisors (see below), whose sum is σ = 82171824. Its totient is φ = 17303040.

The previous prime is 38435693. The next prime is 38435717. The reversal of 38435696 is 69653483.

38435696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38435693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6275 + ... + 10781.

Almost surely, 238435696 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 38435696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41085912).

38435696 is an abundant number, since it is smaller than the sum of its proper divisors (43736128).

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

38435696 is a wasteful number, since it uses less digits than its factorization.

38435696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4569 (or 4563 counting only the distinct ones).

The product of its digits is 466560, while the sum is 44.

The square root of 38435696 is about 6199.6528935094. The cubic root of 38435696 is about 337.4775725380.

The spelling of 38435696 in words is "thirty-eight million, four hundred thirty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 41 52 82 104 164 208 328 533 656 1066 2132 4264 4507 8528 9014 18028 36056 58591 72112 117182 184787 234364 369574 468728 739148 937456 1478296 2402231 2956592 4804462 9608924 19217848 38435696