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38045696 = 211131429
BaseRepresentation
bin1001000100100…
…0100000000000
32122120220212212
42101020200000
534214430241
63435241252
7641245253
oct221104000
978526785
1038045696
111a526327
12108a9228
137b61160
1450a509a
153517beb
hex2448800

38045696 has 48 divisors (see below), whose sum is σ = 81981900. Its totient is φ = 17547264.

The previous prime is 38045659. The next prime is 38045699. The reversal of 38045696 is 69654083.

38045696 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 2 ways, for example, as 30647296 + 7398400 = 5536^2 + 2720^2 .

It is not an unprimeable number, because it can be changed into a prime (38045699) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25910 + ... + 27338.

Almost surely, 238045696 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 38045696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40990950).

38045696 is an abundant number, since it is smaller than the sum of its proper divisors (43936204).

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

38045696 is a wasteful number, since it uses less digits than its factorization.

38045696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The square root of 38045696 is about 6168.1193243970. The cubic root of 38045696 is about 336.3322488276.

The spelling of 38045696 in words is "thirty-eight million, forty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1429 1664 2048 2858 3328 5716 6656 11432 13312 18577 22864 26624 37154 45728 74308 91456 148616 182912 297232 365824 594464 731648 1188928 1463296 2377856 2926592 4755712 9511424 19022848 38045696