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38612112 = 24371131337
BaseRepresentation
bin1001001101001…
…0110010010000
32200122200212020
42103102302100
534341041422
63455331440
7646124520
oct223226220
980580766
1038612112
111a882940
1210b20b80
137ccbc06
1451b1680
1535ca95c
hex24d2c90

38612112 has 160 divisors (see below), whose sum is σ = 128753664. Its totient is φ = 9676800.

The previous prime is 38612099. The next prime is 38612113. The reversal of 38612112 is 21121683.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (38612113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114408 + ... + 114744.

Almost surely, 238612112 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 38612112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64376832).

38612112 is an abundant number, since it is smaller than the sum of its proper divisors (90141552).

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

38612112 is a wasteful number, since it uses less digits than its factorization.

38612112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 391 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 38612112 is about 6213.8644980398. The cubic root of 38612112 is about 337.9931140130.

Adding to 38612112 its reverse (21121683), we get a palindrome (59733795).

The spelling of 38612112 in words is "thirty-eight million, six hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 31 33 42 44 48 56 62 66 77 84 88 93 112 124 132 154 168 176 186 217 231 248 264 308 336 337 341 372 434 462 496 528 616 651 674 682 744 868 924 1011 1023 1232 1302 1348 1364 1488 1736 1848 2022 2046 2359 2387 2604 2696 2728 3472 3696 3707 4044 4092 4718 4774 5208 5392 5456 7077 7161 7414 8088 8184 9436 9548 10416 10447 11121 14154 14322 14828 16176 16368 18872 19096 20894 22242 25949 28308 28644 29656 31341 37744 38192 41788 44484 51898 56616 57288 59312 62682 73129 77847 83576 88968 103796 113232 114576 114917 125364 146258 155694 167152 177936 207592 219387 229834 250728 292516 311388 344751 415184 438774 459668 501456 585032 622776 689502 804419 877548 919336 1170064 1245552 1379004 1608838 1755096 1838672 2413257 2758008 3217676 3510192 4826514 5516016 6435352 9653028 12870704 19306056 38612112