Search a number
-
+
38224536 = 2337472103
BaseRepresentation
bin1001000111010…
…0001010011000
32122221000012120
42101310022120
534241141121
63443141240
7642621540
oct221641230
978830176
1038224536
111a638729
1210974820
137bc468c
145110320
153550bc6
hex2474298

38224536 has 96 divisors (see below), whose sum is σ = 112669440. Its totient is φ = 10585152.

The previous prime is 38224513. The next prime is 38224541. The reversal of 38224536 is 63542283.

It is a happy number.

It is a super-2 number, since 2×382245362 = 2922230304830592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38224497 and 38224506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 371061 + ... + 371163.

It is an arithmetic number, because the mean of its divisors is an integer number (1173640).

Almost surely, 238224536 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 38224536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56334720).

38224536 is an abundant number, since it is smaller than the sum of its proper divisors (74444904).

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

38224536 is a wasteful number, since it uses less digits than its factorization.

38224536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 162 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 38224536 is about 6182.5994533044. The cubic root of 38224536 is about 336.8584201014.

The spelling of 38224536 in words is "thirty-eight million, two hundred twenty-four thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 56 84 94 103 141 168 188 206 282 309 329 376 412 564 618 658 721 824 987 1128 1236 1316 1442 1974 2163 2209 2472 2632 2884 3948 4326 4418 4841 5768 6627 7896 8652 8836 9682 13254 14523 15463 17304 17672 19364 26508 29046 30926 33887 38728 46389 53016 58092 61852 67774 92778 101661 116184 123704 135548 185556 203322 227527 271096 371112 406644 455054 682581 813288 910108 1365162 1592689 1820216 2730324 3185378 4778067 5460648 6370756 9556134 12741512 19112268 38224536