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40485690 = 2335731691
BaseRepresentation
bin1001101001110…
…0001100111010
32211011212221000
42122130030322
540331020230
64003425430
71001060040
oct232341472
984155830
1040485690
1120942553
1211685276
13850693b
14553c390
15384ab60
hex269c33a

40485690 has 128 divisors (see below), whose sum is σ = 127549440. Its totient is φ = 8942400.

The previous prime is 40485673. The next prime is 40485701. The reversal of 40485690 is 9658404.

40485690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×404856902 = 3278182189552200, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 58245 + ... + 58935.

It is an arithmetic number, because the mean of its divisors is an integer number (996480).

Almost surely, 240485690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40485690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63774720).

40485690 is an abundant number, since it is smaller than the sum of its proper divisors (87063750).

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

40485690 is a wasteful number, since it uses less digits than its factorization.

40485690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 40485690 is about 6362.8366315661. The cubic root of 40485690 is about 343.3738214315.

The spelling of 40485690 in words is "forty million, four hundred eighty-five thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 31 35 42 45 54 62 63 70 90 93 105 126 135 155 186 189 210 217 270 279 310 315 378 434 465 558 630 651 691 837 930 945 1085 1302 1382 1395 1674 1890 1953 2073 2170 2790 3255 3455 3906 4146 4185 4837 5859 6219 6510 6910 8370 9674 9765 10365 11718 12438 14511 18657 19530 20730 21421 24185 29022 29295 31095 37314 42842 43533 48370 58590 62190 64263 72555 87066 93285 107105 128526 130599 145110 149947 186570 192789 214210 217665 261198 299894 321315 385578 435330 449841 578367 642630 652995 749735 899682 963945 1156734 1305990 1349523 1499470 1927890 2249205 2699046 2891835 4048569 4498410 5783670 6747615 8097138 13495230 20242845 40485690