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40756905 = 3357174359
BaseRepresentation
bin1001101101111…
…0011010101001
32211200122222000
42123132122221
540413210110
64013321213
71003266540
oct233363251
984618860
1040756905
11210082a2
1211796209
1385a0217
1455ad157
1538a11c0
hex26de6a9

40756905 has 128 divisors (see below), whose sum is σ = 91238400. Its totient is φ = 16837632.

The previous prime is 40756883. The next prime is 40756907. The reversal of 40756905 is 50965704.

It is not a de Polignac number, because 40756905 - 25 = 40756873 is a prime.

It is a super-2 number, since 2×407569052 = 3322250610358050, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 40756905.

It is not an unprimeable number, because it can be changed into a prime (40756907) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 690766 + ... + 690824.

It is an arithmetic number, because the mean of its divisors is an integer number (712800).

Almost surely, 240756905 is an apocalyptic number.

40756905 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40756905 is an abundant number, since it is smaller than the sum of its proper divisors (50481495).

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

40756905 is a wasteful number, since it uses less digits than its factorization.

40756905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 40756905 is about 6384.1134858334. The cubic root of 40756905 is about 344.1388731928.

The spelling of 40756905 in words is "forty million, seven hundred fifty-six thousand, nine hundred five".

Divisors: 1 3 5 7 9 15 17 21 27 35 43 45 51 59 63 85 105 119 129 135 153 177 189 215 255 295 301 315 357 387 413 459 531 595 645 731 765 885 903 945 1003 1071 1161 1239 1505 1593 1785 1935 2065 2193 2295 2537 2655 2709 3009 3213 3655 3717 4515 5015 5117 5355 5805 6195 6579 7021 7611 7965 8127 9027 10965 11151 12685 13545 15045 15351 16065 17759 18585 19737 21063 22833 25585 27081 32895 35105 38055 40635 43129 45135 46053 53277 55755 63189 68499 76755 88795 98685 105315 114165 129387 135405 138159 159831 189567 215645 230265 266385 301903 315945 342495 388161 479493 646935 690795 799155 905709 947835 1164483 1509515 1940805 2397465 2717127 4528545 5822415 8151381 13585635 40756905