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38043252 = 223213437
BaseRepresentation
bin1001000100011…
…1111001110100
32122120210112100
42101013321310
534214341002
63435222100
7641235162
oct221077164
978523470
1038043252
111a524505
12108a7930
137b60000
1450a4232
15351711c
hex2447e74

38043252 has 90 divisors (see below), whose sum is σ = 106993978. Its totient is φ = 11389248.

The previous prime is 38043233. The next prime is 38043253. The reversal of 38043252 is 25234083.

38043252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 25040016 + 13003236 = 5004^2 + 3606^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38043253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1028178 + ... + 1028214.

Almost surely, 238043252 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 38043252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53496989).

38043252 is an abundant number, since it is smaller than the sum of its proper divisors (68950726).

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

38043252 is a wasteful number, since it uses less digits than its factorization.

38043252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 38043252 is about 6167.9212057224. The cubic root of 38043252 is about 336.3250468424.

It can be divided in two parts, 3804 and 3252, that added together give a square (7056 = 842).

The spelling of 38043252 in words is "thirty-eight million, forty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 37 39 52 74 78 111 117 148 156 169 222 234 333 338 444 468 481 507 666 676 962 1014 1332 1443 1521 1924 2028 2197 2886 3042 4329 4394 5772 6084 6253 6591 8658 8788 12506 13182 17316 18759 19773 25012 26364 28561 37518 39546 56277 57122 75036 79092 81289 85683 112554 114244 162578 171366 225108 243867 257049 325156 342732 487734 514098 731601 975468 1028196 1056757 1463202 2113514 2926404 3170271 4227028 6340542 9510813 12681084 19021626 38043252