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40052936 = 23711223257
BaseRepresentation
bin1001100011001…
…0100011001000
32210100220022002
42120302203020
540223143221
63550250132
7664305260
oct230624310
983326262
1040052936
1120677400
12114b6948
1383b4981
1454687a0
1537b280b
hex26328c8

40052936 has 96 divisors (see below), whose sum is σ = 98824320. Its totient is φ = 14868480.

The previous prime is 40052927. The next prime is 40052939. The reversal of 40052936 is 63925004.

It is a junction number, because it is equal to n+sod(n) for n = 40052899 and 40052908.

It is not an unprimeable number, because it can be changed into a prime (40052939) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155720 + ... + 155976.

It is an arithmetic number, because the mean of its divisors is an integer number (1029420).

Almost surely, 240052936 is an apocalyptic number.

40052936 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 40052936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49412160).

40052936 is an abundant number, since it is smaller than the sum of its proper divisors (58771384).

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

40052936 is a wasteful number, since it uses less digits than its factorization.

40052936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 40052936 is about 6328.7388949142. The cubic root of 40052936 is about 342.1459883103.

The spelling of 40052936 in words is "forty million, fifty-two thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 22 23 28 44 46 56 77 88 92 121 154 161 184 242 253 257 308 322 484 506 514 616 644 847 968 1012 1028 1288 1694 1771 1799 2024 2056 2783 2827 3388 3542 3598 5566 5654 5911 6776 7084 7196 11132 11308 11822 14168 14392 19481 19789 22264 22616 23644 31097 38962 39578 41377 47288 62194 65021 77924 79156 82754 124388 130042 155848 158312 165508 217679 248776 260084 331016 435358 455147 520168 715231 870716 910294 1430462 1741432 1820588 2860924 3641176 5006617 5721848 10013234 20026468 40052936