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39928248 = 2333316789
BaseRepresentation
bin1001100001010…
…0000110111000
32210010120021000
42120110012320
540210200443
63543445000
7663245613
oct230240670
983116230
1039928248
11205a1758
1211456760
13836cca9
14543517a
15378a8d3
hex26141b8

39928248 has 128 divisors (see below), whose sum is σ = 117504000. Its totient is φ = 12545280.

The previous prime is 39928241. The next prime is 39928261. The reversal of 39928248 is 84282993.

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

Its product of digits (248832) is a multiple of the sum of its prime divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39928241) 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, 448588 + ... + 448676.

It is an arithmetic number, because the mean of its divisors is an integer number (918000).

Almost surely, 239928248 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 39928248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58752000).

39928248 is an abundant number, since it is smaller than the sum of its proper divisors (77575752).

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

39928248 is a wasteful number, since it uses less digits than its factorization.

39928248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 192 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 39928248 is about 6318.8802805560. The cubic root of 39928248 is about 341.7905766182.

The spelling of 39928248 in words is "thirty-nine million, nine hundred twenty-eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 67 72 89 93 108 124 134 178 186 201 216 248 267 268 279 356 372 402 534 536 558 603 712 744 801 804 837 1068 1116 1206 1602 1608 1674 1809 2077 2136 2232 2403 2412 2759 3204 3348 3618 4154 4806 4824 5518 5963 6231 6408 6696 7236 8277 8308 9612 11036 11926 12462 14472 16554 16616 17889 18693 19224 22072 23852 24831 24924 33108 35778 37386 47704 49662 49848 53667 56079 66216 71556 74493 74772 99324 107334 112158 143112 148986 149544 161001 184853 198648 214668 224316 297972 322002 369706 429336 448632 554559 595944 644004 739412 1109118 1288008 1478824 1663677 2218236 3327354 4436472 4991031 6654708 9982062 13309416 19964124 39928248