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40225734 = 235372237
BaseRepresentation
bin1001100101110…
…0101111000110
32210200200100000
42121130233012
540244210414
63554102130
7665625123
oct231345706
983620300
1040225734
112078520a
121157a946
138445513
1454b174a
1537e8b09
hex265cbc6

40225734 has 48 divisors (see below), whose sum is σ = 92868048. Its totient is φ = 13040352.

The previous prime is 40225733. The next prime is 40225739. The reversal of 40225734 is 43752204.

40225734 is a `hidden beast` number, since 402 + 257 + 3 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 40225698 and 40225707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40225733) 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, 16864 + ... + 19100.

It is an arithmetic number, because the mean of its divisors is an integer number (1934751).

Almost surely, 240225734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40225734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46434024).

40225734 is an abundant number, since it is smaller than the sum of its proper divisors (52642314).

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

40225734 is a wasteful number, since it uses less digits than its factorization.

40225734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2291 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 40225734 is about 6342.3760531839. The cubic root of 40225734 is about 342.6373157817.

Adding to 40225734 its reverse (43752204), we get a palindrome (83977938).

The spelling of 40225734 in words is "forty million, two hundred twenty-five thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 243 333 486 666 999 1998 2237 2997 4474 5994 6711 8991 13422 17982 20133 40266 60399 82769 120798 165538 181197 248307 362394 496614 543591 744921 1087182 1489842 2234763 4469526 6704289 13408578 20112867 40225734