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3948930 = 2325172989
BaseRepresentation
bin1111000100000110000010
321102121220200
433010012002
52002331210
6220350030
745364626
oct17040602
97377820
103948930
112257987
1213a5316
13a8355b
1474b186
155300c0
hex3c4182

3948930 has 96 divisors (see below), whose sum is σ = 11372400. Its totient is φ = 946176.

The previous prime is 3948911. The next prime is 3948953. The reversal of 3948930 is 398493.

It can be written as a sum of positive squares in 8 ways, for example, as 1671849 + 2277081 = 1293^2 + 1509^2 .

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44326 + ... + 44414.

Almost surely, 23948930 is an apocalyptic number.

3948930 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3948930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5686200).

3948930 is an abundant number, since it is smaller than the sum of its proper divisors (7423470).

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

3948930 is a wasteful number, since it uses less digits than its factorization.

3948930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3948930 is about 1987.1914854890. The cubic root of 3948930 is about 158.0616380778.

The spelling of 3948930 in words is "three million, nine hundred forty-eight thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 29 30 34 45 51 58 85 87 89 90 102 145 153 170 174 178 255 261 267 290 306 435 445 493 510 522 534 765 801 870 890 986 1305 1335 1479 1513 1530 1602 2465 2581 2610 2670 2958 3026 4005 4437 4539 4930 5162 7395 7565 7743 8010 8874 9078 12905 13617 14790 15130 15486 22185 22695 23229 25810 27234 38715 43877 44370 45390 46458 68085 77430 87754 116145 131631 136170 219385 232290 263262 394893 438770 658155 789786 1316310 1974465 3948930