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38069248 = 210747113
BaseRepresentation
bin1001000100111…
…0010000000000
32122122010012011
42101032100000
534221203443
63435542304
7641404030
oct221162000
978563164
1038069248
111a541a98
12108ba994
137b6baa9
1450ad8c0
15351eb9d
hex244e400

38069248 has 88 divisors (see below), whose sum is σ = 89609472. Its totient is φ = 15826944.

The previous prime is 38069243. The next prime is 38069261. The reversal of 38069248 is 84296083.

It is a self number, because there is not a number n which added to its sum of digits gives 38069248.

It is not an unprimeable number, because it can be changed into a prime (38069243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 336840 + ... + 336952.

Almost surely, 238069248 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 38069248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44804736).

38069248 is an abundant number, since it is smaller than the sum of its proper divisors (51540224).

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

38069248 is a wasteful number, since it uses less digits than its factorization.

38069248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 38069248 is about 6170.0282009080. The cubic root of 38069248 is about 336.4016361169.

The spelling of 38069248 in words is "thirty-eight million, sixty-nine thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 113 128 188 224 226 256 329 376 448 452 512 658 752 791 896 904 1024 1316 1504 1582 1792 1808 2632 3008 3164 3584 3616 5264 5311 6016 6328 7168 7232 10528 10622 12032 12656 14464 21056 21244 24064 25312 28928 37177 42112 42488 48128 50624 57856 74354 84224 84976 101248 115712 148708 168448 169952 202496 297416 336896 339904 404992 594832 679808 809984 1189664 1359616 2379328 2719232 4758656 5438464 9517312 19034624 38069248