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40706512 = 24711193747
BaseRepresentation
bin1001101101001…
…0000111010000
32211121002211121
42123102013100
540410102022
64012252024
71002666610
oct233220720
984532747
1040706512
1120a83450
1211771014
1385832c2
145598a40
1538912c7
hex26d21d0

40706512 has 160 divisors (see below), whose sum is σ = 108564480. Its totient is φ = 14307840.

The previous prime is 40706461. The next prime is 40706557. The reversal of 40706512 is 21560704.

It is a super-2 number, since 2×407065122 = 3314040238412288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 866073 + ... + 866119.

It is an arithmetic number, because the mean of its divisors is an integer number (678528).

Almost surely, 240706512 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 40706512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54282240).

40706512 is an abundant number, since it is smaller than the sum of its proper divisors (67857968).

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

40706512 is a wasteful number, since it uses less digits than its factorization.

40706512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 40706512 is about 6380.1655150944. The cubic root of 40706512 is about 343.9969803232.

The spelling of 40706512 in words is "forty million, seven hundred six thousand, five hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 37 38 44 47 56 74 76 77 88 94 112 133 148 152 154 176 188 209 259 266 296 304 308 329 376 407 418 517 518 532 592 616 658 703 752 814 836 893 1034 1036 1064 1232 1316 1406 1463 1628 1672 1739 1786 2068 2072 2128 2632 2812 2849 2926 3256 3344 3478 3572 3619 4136 4144 4921 5264 5624 5698 5852 6251 6512 6956 7144 7238 7733 8272 9823 9842 11248 11396 11704 12173 12502 13912 14288 14476 15466 19129 19646 19684 22792 23408 24346 25004 27824 28952 30932 33041 38258 39292 39368 45584 48692 50008 54131 57904 61864 66082 68761 76516 78584 78736 97384 100016 108262 123728 132164 133903 137522 153032 157168 194768 216524 231287 264328 267806 275044 306064 363451 433048 462574 528656 535612 550088 726902 866096 925148 1071224 1100176 1453804 1850296 2142448 2544157 2907608 3700592 5088314 5815216 10176628 20353256 40706512