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40057236 = 223217293761
BaseRepresentation
bin1001100011001…
…1100110010100
32210101010012100
42120303212110
540223312421
63550322100
7664323642
oct230634624
983333170
1040057236
112067a65a
12114b9330
1383b690b
14546a192
1537b3c26
hex2633994

40057236 has 144 divisors (see below), whose sum is σ = 115773840. Its totient is φ = 11612160.

The previous prime is 40057231. The next prime is 40057279. The reversal of 40057236 is 63275004.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 291600 + 39765636 = 540^2 + 6306^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40057231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 656646 + ... + 656706.

It is an arithmetic number, because the mean of its divisors is an integer number (803985).

Almost surely, 240057236 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 40057236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57886920).

40057236 is an abundant number, since it is smaller than the sum of its proper divisors (75716604).

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

40057236 is a wasteful number, since it uses less digits than its factorization.

40057236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 40057236 is about 6329.0786059268. The cubic root of 40057236 is about 342.1582318997.

The spelling of 40057236 in words is "forty million, fifty-seven thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 17 18 29 34 36 37 51 58 61 68 74 87 102 111 116 122 148 153 174 183 204 222 244 261 306 333 348 366 444 493 522 549 612 629 666 732 986 1037 1044 1073 1098 1258 1332 1479 1769 1887 1972 2074 2146 2196 2257 2516 2958 3111 3219 3538 3774 4148 4292 4437 4514 5307 5661 5916 6222 6438 6771 7076 7548 8874 9028 9333 9657 10614 11322 12444 12876 13542 15921 17748 18241 18666 19314 20313 21228 22644 27084 30073 31842 36482 37332 38369 38628 40626 54723 60146 63684 65453 72964 76738 81252 90219 109446 115107 120292 130906 153476 164169 180438 196359 218892 230214 261812 270657 328338 345321 360876 392718 460428 541314 589077 656676 690642 785436 1082628 1112701 1178154 1381284 2225402 2356308 3338103 4450804 6676206 10014309 13352412 20028618 40057236