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40249536 = 263415113
BaseRepresentation
bin1001100110001…
…0100011000000
32210201212222120
42121202203000
540300441121
63554404240
7666054405
oct231424300
983655876
1040249536
11207a1088
1211590680
1384532c2
1454ba2ac
153800bc6
hex26628c0

40249536 has 56 divisors (see below), whose sum is σ = 109112304. Its totient is φ = 13086720.

The previous prime is 40249511. The next prime is 40249537. The reversal of 40249536 is 63594204.

It is a junction number, because it is equal to n+sod(n) for n = 40249497 and 40249506.

It is not an unprimeable number, because it can be changed into a prime (40249537) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5316 + ... + 10428.

It is an arithmetic number, because the mean of its divisors is an integer number (1948434).

Almost surely, 240249536 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 40249536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54556152).

40249536 is an abundant number, since it is smaller than the sum of its proper divisors (68862768).

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

40249536 is a wasteful number, since it uses less digits than its factorization.

40249536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5169 (or 5159 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 40249536 is about 6344.2522017965. The cubic root of 40249536 is about 342.7048831866.

The spelling of 40249536 in words is "forty million, two hundred forty-nine thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 656 984 1312 1968 2624 3936 5113 7872 10226 15339 20452 30678 40904 61356 81808 122712 163616 209633 245424 327232 419266 490848 628899 838532 981696 1257798 1677064 2515596 3354128 5031192 6708256 10062384 13416512 20124768 40249536