Search a number
-
+
40057536 = 2632347193
BaseRepresentation
bin1001100011001…
…1101011000000
32210101010121110
42120303223000
540223320121
63550323320
7664324551
oct230635300
983333543
1040057536
112067a902
12114b9540
1383b6aac
14546a328
1537b3d76
hex2633ac0

40057536 has 112 divisors (see below), whose sum is σ = 113531904. Its totient is φ = 12435456.

The previous prime is 40057531. The next prime is 40057547. The reversal of 40057536 is 63575004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40057531) 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 15 ways as a sum of consecutive naturals, for example, 207456 + ... + 207648.

Almost surely, 240057536 is an apocalyptic number.

40057536 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40057536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56765952).

40057536 is an abundant number, since it is smaller than the sum of its proper divisors (73474368).

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

40057536 is a wasteful number, since it uses less digits than its factorization.

40057536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 40057536 is about 6329.1023060147. The cubic root of 40057536 is about 342.1590860709.

The spelling of 40057536 in words is "forty million, fifty-seven thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 47 48 64 69 92 94 96 138 141 184 188 192 193 276 282 368 376 386 552 564 579 736 752 772 1081 1104 1128 1158 1472 1504 1544 2162 2208 2256 2316 3008 3088 3243 4324 4416 4439 4512 4632 6176 6486 8648 8878 9024 9071 9264 12352 12972 13317 17296 17756 18142 18528 25944 26634 27213 34592 35512 36284 37056 51888 53268 54426 69184 71024 72568 103776 106536 108852 142048 145136 207552 208633 213072 217704 284096 290272 417266 426144 435408 580544 625899 834532 852288 870816 1251798 1669064 1741632 2503596 3338128 5007192 6676256 10014384 13352512 20028768 40057536