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40082840 = 2357375373
BaseRepresentation
bin1001100011100…
…1110110011000
32210102102022122
42120321312120
540230122330
63551040412
7664461410
oct230716630
983372278
1040082840
1120697916
1211510108
1383c5475
145475640
1537bb5e5
hex2639d98

40082840 has 128 divisors (see below), whose sum is σ = 109330560. Its totient is φ = 12939264.

The previous prime is 40082831. The next prime is 40082873. The reversal of 40082840 is 4828004.

40082840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 549044 + ... + 549116.

It is an arithmetic number, because the mean of its divisors is an integer number (854145).

Almost surely, 240082840 is an apocalyptic number.

40082840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40082840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54665280).

40082840 is an abundant number, since it is smaller than the sum of its proper divisors (69247720).

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

40082840 is a wasteful number, since it uses less digits than its factorization.

40082840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 40082840 is about 6331.1010100930. The cubic root of 40082840 is about 342.2311172204.

The spelling of 40082840 in words is "forty million, eighty-two thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 53 56 70 73 74 106 140 146 148 185 212 259 265 280 292 296 365 370 371 424 511 518 530 584 730 740 742 1022 1036 1060 1295 1460 1480 1484 1855 1961 2044 2072 2120 2555 2590 2701 2920 2968 3710 3869 3922 4088 5110 5180 5402 7420 7738 7844 9805 10220 10360 10804 13505 13727 14840 15476 15688 18907 19345 19610 20440 21608 27010 27083 27454 30952 37814 38690 39220 54020 54166 54908 68635 75628 77380 78440 94535 108040 108332 109816 135415 137270 143153 151256 154760 189070 216664 270830 274540 286306 378140 541660 549080 572612 715765 756280 1002071 1083320 1145224 1431530 2004142 2863060 4008284 5010355 5726120 8016568 10020710 20041420 40082840