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40279840 = 255298681
BaseRepresentation
bin1001100110100…
…1111100100000
32210210102112221
42121221330200
540302423330
63555200424
7666241636
oct231517440
983712487
1040279840
1120811927
12115a6114
138464033
1454c7356
153809b7a
hex2669f20

40279840 has 48 divisors (see below), whose sum is σ = 98453880. Its totient is φ = 15554560.

The previous prime is 40279823. The next prime is 40279843. The reversal of 40279840 is 4897204.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 37307664 + 2972176 = 6108^2 + 1724^2 .

It is a junction number, because it is equal to n+sod(n) for n = 40279796 and 40279805.

It is not an unprimeable number, because it can be changed into a prime (40279843) 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, 300 + ... + 8980.

Almost surely, 240279840 is an apocalyptic number.

40279840 is a gapful number since it is divisible by the number (40) 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 40279840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49226940).

40279840 is an abundant number, since it is smaller than the sum of its proper divisors (58174040).

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

40279840 is a wasteful number, since it uses less digits than its factorization.

40279840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8725 (or 8717 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 40279840 is about 6346.6400559666. The cubic root of 40279840 is about 342.7908694655.

The spelling of 40279840 in words is "forty million, two hundred seventy-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 4640 8681 17362 34724 43405 69448 86810 138896 173620 251749 277792 347240 503498 694480 1006996 1258745 1388960 2013992 2517490 4027984 5034980 8055968 10069960 20139920 40279840