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40354864 = 2411376197
BaseRepresentation
bin1001100111110…
…0010000110000
32210221020110121
42121330100300
540312323424
64000540024
71000003444
oct231742060
983836417
1040354864
1120863230
1211621614
13848c224
145506824
153821ee4
hex267c430

40354864 has 40 divisors (see below), whose sum is σ = 87614928. Its totient is φ = 17844480.

The previous prime is 40354861. The next prime is 40354883. The reversal of 40354864 is 46845304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40354861) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3414 + ... + 9610.

Almost surely, 240354864 is an apocalyptic number.

40354864 is a gapful number since it is divisible by the number (44) 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 40354864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43807464).

40354864 is an abundant number, since it is smaller than the sum of its proper divisors (47260064).

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

40354864 is a wasteful number, since it uses less digits than its factorization.

40354864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6253 (or 6247 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 40354864 is about 6352.5478353177. The cubic root of 40354864 is about 343.0035614043.

The spelling of 40354864 in words is "forty million, three hundred fifty-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 37 44 74 88 148 176 296 407 592 814 1628 3256 6197 6512 12394 24788 49576 68167 99152 136334 229289 272668 458578 545336 917156 1090672 1834312 2522179 3668624 5044358 10088716 20177432 40354864