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40947390 = 23351117811
BaseRepresentation
bin1001110000110…
…0111010111110
32212001100021000
42130030322332
540440304030
64021351130
71005022101
oct234147276
985040230
1040947390
1121128420
12118684a6
138638b33
14561c738
1538dc860
hex270cebe

40947390 has 128 divisors (see below), whose sum is σ = 126282240. Its totient is φ = 9331200.

The previous prime is 40947377. The next prime is 40947421. The reversal of 40947390 is 9374904.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50085 + ... + 50895.

It is an arithmetic number, because the mean of its divisors is an integer number (986580).

Almost surely, 240947390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40947390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63141120).

40947390 is an abundant number, since it is smaller than the sum of its proper divisors (85334850).

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

40947390 is a wasteful number, since it uses less digits than its factorization.

40947390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 40947390 is about 6399.0147679154. The cubic root of 40947390 is about 344.6741725277.

The spelling of 40947390 in words is "forty million, nine hundred forty-seven thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 17 18 22 27 30 33 34 45 51 54 55 66 85 90 99 102 110 135 153 165 170 187 198 255 270 297 306 330 374 459 495 510 561 594 765 811 918 935 990 1122 1485 1530 1622 1683 1870 2295 2433 2805 2970 3366 4055 4590 4866 5049 5610 7299 8110 8415 8921 10098 12165 13787 14598 16830 17842 21897 24330 25245 26763 27574 36495 41361 43794 44605 50490 53526 68935 72990 80289 82722 89210 109485 124083 133815 137870 151657 160578 206805 218970 240867 248166 267630 303314 372249 401445 413610 454971 481734 620415 744498 758285 802890 909942 1204335 1240830 1364913 1516570 1861245 2274855 2408670 2729826 3722490 4094739 4549710 6824565 8189478 13649130 20473695 40947390