Search a number
-
+
38362752 = 273233301
BaseRepresentation
bin1001001001010…
…1111010000000
32200012000210200
42102111322000
534310102002
63450125200
7644035521
oct222257200
980160720
1038362752
111a72255a
1210a20800
137c4256c
145148848
15357bb1c
hex2495e80

38362752 has 48 divisors (see below), whose sum is σ = 110396130. Its totient is φ = 12787200.

The previous prime is 38362721. The next prime is 38362777. The reversal of 38362752 is 25726383.

38362752 is a `hidden beast` number, since 383 + 6 + 275 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30206016 + 8156736 = 5496^2 + 2856^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15499 + ... + 17802.

Almost surely, 238362752 is an apocalyptic number.

38362752 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38362752 is an abundant number, since it is smaller than the sum of its proper divisors (72033378).

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

38362752 is a wasteful number, since it uses less digits than its factorization.

38362752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33321 (or 33306 counting only the distinct ones).

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

The square root of 38362752 is about 6193.7671896835. The cubic root of 38362752 is about 337.2639468732.

The spelling of 38362752 in words is "thirty-eight million, three hundred sixty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 33301 66602 99903 133204 199806 266408 299709 399612 532816 599418 799224 1065632 1198836 1598448 2131264 2397672 3196896 4262528 4795344 6393792 9590688 12787584 19181376 38362752