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40685736 = 23371321433
BaseRepresentation
bin1001101100110…
…1000010101000
32211120001100010
42123031002220
540403420421
64012011520
71002552210
oct233150250
984501303
1040685736
1120a69883
1211760ba0
138576a00
145591240
15388a076
hex26cd0a8

40685736 has 96 divisors (see below), whose sum is σ = 125962560. Its totient is φ = 10722816.

The previous prime is 40685731. The next prime is 40685737. The reversal of 40685736 is 63758604.

It is a super-2 number, since 2×406857362 = 3310658227723392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 40685694 and 40685703.

It is not an unprimeable number, because it can be changed into a prime (40685731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27676 + ... + 29108.

It is an arithmetic number, because the mean of its divisors is an integer number (1312110).

Almost surely, 240685736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40685736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62981280).

40685736 is an abundant number, since it is smaller than the sum of its proper divisors (85276824).

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

40685736 is a wasteful number, since it uses less digits than its factorization.

40685736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 40685736 is about 6378.5371363660. The cubic root of 40685736 is about 343.9384467116.

The spelling of 40685736 in words is "forty million, six hundred eighty-five thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 169 182 273 312 338 364 507 546 676 728 1014 1092 1183 1352 1433 2028 2184 2366 2866 3549 4056 4299 4732 5732 7098 8598 9464 10031 11464 14196 17196 18629 20062 28392 30093 34392 37258 40124 55887 60186 74516 80248 111774 120372 130403 149032 223548 240744 242177 260806 391209 447096 484354 521612 726531 782418 968708 1043224 1453062 1564836 1695239 1937416 2906124 3129672 3390478 5085717 5812248 6780956 10171434 13561912 20342868 40685736