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40485456 = 24321161419
BaseRepresentation
bin1001101001110…
…0001001010000
32211011212121100
42122130021100
540331013311
64003424400
71001056254
oct232341120
984155540
1040485456
1120942360
1211685100
1385067bb
14553c264
15384aa56
hex269c250

40485456 has 120 divisors (see below), whose sum is σ = 125929440. Its totient is φ = 12038400.

The previous prime is 40485439. The next prime is 40485461. The reversal of 40485456 is 65458404.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 40485456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96415 + ... + 96833.

It is an arithmetic number, because the mean of its divisors is an integer number (1049412).

Almost surely, 240485456 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 40485456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62964720).

40485456 is an abundant number, since it is smaller than the sum of its proper divisors (85443984).

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

40485456 is a wasteful number, since it uses less digits than its factorization.

40485456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 40485456 is about 6362.8182435144. The cubic root of 40485456 is about 343.3731598839.

The spelling of 40485456 in words is "forty million, four hundred eighty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 61 66 72 88 99 122 132 144 176 183 198 244 264 366 396 419 488 528 549 671 732 792 838 976 1098 1257 1342 1464 1584 1676 2013 2196 2514 2684 2928 3352 3771 4026 4392 4609 5028 5368 6039 6704 7542 8052 8784 9218 10056 10736 12078 13827 15084 16104 18436 20112 24156 25559 27654 30168 32208 36872 41481 48312 51118 55308 60336 73744 76677 82962 96624 102236 110616 153354 165924 204472 221232 230031 281149 306708 331848 408944 460062 562298 613416 663696 843447 920124 1124596 1226832 1686894 1840248 2249192 2530341 3373788 3680496 4498384 5060682 6747576 10121364 13495152 20242728 40485456