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40526136 = 233373547
BaseRepresentation
bin1001101010011…
…0000100111000
32211020221102000
42122212010320
540333314021
64004341000
71001316000
oct232460470
984227360
1040526136
112096a982
12116a4760
13851c181
14554d000
153857b26
hex26a6138

40526136 has 128 divisors (see below), whose sum is σ = 131520000. Its totient is φ = 11557728.

The previous prime is 40526119. The next prime is 40526159. The reversal of 40526136 is 63162504.

40526136 is a `hidden beast` number, since 4 + 0 + 526 + 136 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 73815 + ... + 74361.

It is an arithmetic number, because the mean of its divisors is an integer number (1027500).

Almost surely, 240526136 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 40526136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65760000).

40526136 is an abundant number, since it is smaller than the sum of its proper divisors (90993864).

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

40526136 is a wasteful number, since it uses less digits than its factorization.

40526136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 40526136 is about 6366.0141375903. The cubic root of 40526136 is about 343.4881291067.

The spelling of 40526136 in words is "forty million, five hundred twenty-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 343 378 392 441 504 547 588 686 756 882 1029 1094 1176 1323 1372 1512 1641 1764 2058 2188 2646 2744 3087 3282 3528 3829 4116 4376 4923 5292 6174 6564 7658 8232 9261 9846 10584 11487 12348 13128 14769 15316 18522 19692 22974 24696 26803 29538 30632 34461 37044 39384 45948 53606 59076 68922 74088 80409 91896 103383 107212 118152 137844 160818 187621 206766 214424 241227 275688 321636 375242 413532 482454 562863 643272 723681 750484 827064 964908 1125726 1447362 1500968 1688589 1929816 2251452 2894724 3377178 4502904 5065767 5789448 6754356 10131534 13508712 20263068 40526136