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38939292 = 223575997
BaseRepresentation
bin1001010010001…
…0101010011100
32201021022200000
42110202222130
534432024132
63510334300
7651656430
oct224425234
981238600
1038939292
111aa86737
121105a390
1380b4b02
1452589c0
15364287c
hex2522a9c

38939292 has 144 divisors (see below), whose sum is σ = 119857920. Its totient is φ = 10824192.

The previous prime is 38939291. The next prime is 38939293. The reversal of 38939292 is 29293983.

It is an interprime number because it is at equal distance from previous prime (38939291) and next prime (38939293).

It is a super-2 number, since 2×389392922 = 3032536922922528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38939291) 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 47 ways as a sum of consecutive naturals, for example, 401388 + ... + 401484.

Almost surely, 238939292 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 38939292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59928960).

38939292 is an abundant number, since it is smaller than the sum of its proper divisors (80918628).

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

38939292 is a wasteful number, since it uses less digits than its factorization.

38939292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 168 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 38939292 is about 6240.1355754503. The cubic root of 38939292 is about 338.9450925247.

The spelling of 38939292 in words is "thirty-eight million, nine hundred thirty-nine thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 59 63 81 84 97 108 118 126 162 177 189 194 236 243 252 291 324 354 378 388 413 486 531 567 582 679 708 756 826 873 972 1062 1134 1164 1239 1358 1593 1652 1701 1746 2037 2124 2268 2478 2619 2716 3186 3402 3492 3717 4074 4779 4956 5238 5723 6111 6372 6804 7434 7857 8148 9558 10476 11151 11446 12222 14337 14868 15714 17169 18333 19116 22302 22892 23571 24444 28674 31428 33453 34338 36666 40061 44604 47142 51507 54999 57348 66906 68676 73332 80122 94284 100359 103014 109998 120183 133812 154521 160244 164997 200718 206028 219996 240366 309042 329994 360549 401436 463563 480732 618084 659988 721098 927126 1081647 1390689 1442196 1854252 2163294 2781378 3244941 4326588 5562756 6489882 9734823 12979764 19469646 38939292