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38056336 = 2417181773
BaseRepresentation
bin1001000100101…
…1000110010000
32122121110110221
42101023012100
534220300321
63435402424
7641321263
oct221130620
978543427
1038056336
111a53331a
12108b3414
137b65c56
1450a8cda
15351ae41
hex244b190

38056336 has 40 divisors (see below), whose sum is σ = 78604344. Its totient is φ = 17786880.

The previous prime is 38056327. The next prime is 38056339. The reversal of 38056336 is 63365083.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 160000 + 37896336 = 400^2 + 6156^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (38056339) 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, 48846 + ... + 49618.

Almost surely, 238056336 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 38056336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39302172).

38056336 is an abundant number, since it is smaller than the sum of its proper divisors (40548008).

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

38056336 is a wasteful number, since it uses less digits than its factorization.

38056336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 34.

The square root of 38056336 is about 6168.9817636300. The cubic root of 38056336 is about 336.3635992120.

The spelling of 38056336 in words is "thirty-eight million, fifty-six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 17 34 68 136 181 272 362 724 773 1448 1546 2896 3077 3092 6154 6184 12308 12368 13141 24616 26282 49232 52564 105128 139913 210256 279826 559652 1119304 2238608 2378521 4757042 9514084 19028168 38056336