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39382848 = 263471107
BaseRepresentation
bin1001011000111…
…0111101000000
32202002212010000
42112032331000
540040222343
63524040000
7655514541
oct226167500
982085100
1039382848
1120259a0a
1211233000
13820b97b
1453324c8
1536cded3
hex258ef40

39382848 has 140 divisors (see below), whose sum is σ = 119493792. Its totient is φ = 12821760.

The previous prime is 39382813. The next prime is 39382853. The reversal of 39382848 is 84828393.

It is a super-2 number, since 2×393828482 = 3102017433182208, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 368011 + ... + 368117.

Almost surely, 239382848 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 39382848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59746896).

39382848 is an abundant number, since it is smaller than the sum of its proper divisors (80110944).

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

39382848 is a wasteful number, since it uses less digits than its factorization.

39382848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 183 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 39382848 is about 6275.5755114571. The cubic root of 39382848 is about 340.2272068422.

It can be divided in two parts, 3938 and 2848, that added together give a triangular number (6786 = T116).

The spelling of 39382848 in words is "thirty-nine million, three hundred eighty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 71 72 81 96 107 108 142 144 162 192 213 214 216 284 288 321 324 426 428 432 568 576 639 642 648 852 856 864 963 1136 1278 1284 1296 1704 1712 1728 1917 1926 2272 2556 2568 2592 2889 3408 3424 3834 3852 4544 5112 5136 5184 5751 5778 6816 6848 7597 7668 7704 8667 10224 10272 11502 11556 13632 15194 15336 15408 17334 20448 20544 22791 23004 23112 30388 30672 30816 34668 40896 45582 46008 46224 60776 61344 61632 68373 69336 91164 92016 92448 121552 122688 136746 138672 182328 184032 184896 205119 243104 273492 277344 364656 368064 410238 486208 546984 554688 615357 729312 820476 1093968 1230714 1458624 1640952 2187936 2461428 3281904 4375872 4922856 6563808 9845712 13127616 19691424 39382848