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38263752 = 23314
BaseRepresentation
bin1001000111110…
…1101111001000
32200000000000000
42101331233020
534243420002
63444043000
7643144062
oct221755710
980000000
1038263752
111a66513a
1210993460
137c09497
145120732
15355c61c
hex247dbc8

38263752 has 60 divisors (see below), whose sum is σ = 107616795. Its totient is φ = 12754584.

The previous prime is 38263741. The next prime is 38263759. The reversal of 38263752 is 25736283.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 19131876 + 19131876 = 4374^2 + 4374^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=4374.

It is a super-2 number, since 2×382637522 = 2928229434235008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (60480) is a multiple of the sum of its prime divisors (5).

It is a nialpdrome in base 3 and base 9.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (38263759) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 12754583 + 12754584 + 12754585.

Almost surely, 238263752 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 38263752

38263752 is an abundant number, since it is smaller than the sum of its proper divisors (69353043).

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

38263752 is an frugal number, since it uses more digits than its factorization.

38263752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 5 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 38263752 is about 6185.7701218199. The cubic root of 38263752 is about 336.9735793344.

The spelling of 38263752 in words is "thirty-eight million, two hundred sixty-three thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2187 2916 4374 5832 6561 8748 13122 17496 19683 26244 39366 52488 59049 78732 118098 157464 177147 236196 354294 472392 531441 708588 1062882 1417176 1594323 2125764 3188646 4251528 4782969 6377292 9565938 12754584 19131876 38263752