Search a number
-
+
38084244 = 223113141227
BaseRepresentation
bin1001000101000…
…1111010010100
32122122212202120
42101101322110
534222143434
63440135540
7641465532
oct221217224
978585676
1038084244
111a552290
12109075b0
137b75873
1450b5152
153524349
hex2451e94

38084244 has 96 divisors (see below), whose sum is σ = 102961152. Its totient is φ = 10848000.

The previous prime is 38084243. The next prime is 38084287. The reversal of 38084244 is 44248083.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38084243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167659 + ... + 167885.

It is an arithmetic number, because the mean of its divisors is an integer number (1072512).

Almost surely, 238084244 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 38084244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51480576).

38084244 is an abundant number, since it is smaller than the sum of its proper divisors (64876908).

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

38084244 is a wasteful number, since it uses less digits than its factorization.

38084244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 38084244 is about 6171.2433107114. The cubic root of 38084244 is about 336.4458013942.

The spelling of 38084244 in words is "thirty-eight million, eighty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 31 33 41 44 62 66 82 93 123 124 132 164 186 227 246 341 372 451 454 492 681 682 902 908 1023 1271 1353 1362 1364 1804 2046 2497 2542 2706 2724 3813 4092 4994 5084 5412 7037 7491 7626 9307 9988 13981 14074 14982 15252 18614 21111 27921 27962 28148 29964 37228 41943 42222 55842 55924 77407 83886 84444 102377 111684 154814 167772 204754 232221 288517 307131 309628 409508 464442 577034 614262 865551 928884 1154068 1228524 1731102 3173687 3462204 6347374 9521061 12694748 19042122 38084244