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40039965 = 3257791609
BaseRepresentation
bin1001100010111…
…1011000011101
32210100020111200
42120233120131
540222234330
63550110113
7664222410
oct230573035
983306450
1040039965
1120668689
12114ab339
1383abab4
145463b77
1537ada60
hex262f61d

40039965 has 48 divisors (see below), whose sum is σ = 80371200. Its totient is φ = 18061056.

The previous prime is 40039949. The next prime is 40039991. The reversal of 40039965 is 56993004.

It is not a de Polignac number, because 40039965 - 24 = 40039949 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24081 + ... + 25689.

It is an arithmetic number, because the mean of its divisors is an integer number (1674400).

Almost surely, 240039965 is an apocalyptic number.

40039965 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40039965 is an abundant number, since it is smaller than the sum of its proper divisors (40331235).

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

40039965 is a wasteful number, since it uses less digits than its factorization.

40039965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 40039965 is about 6327.7140422115. The cubic root of 40039965 is about 342.1090500712.

It can be divided in two parts, 4003996 and 5, that added together give a square (4004001 = 20012).

The spelling of 40039965 in words is "forty million, thirty-nine thousand, nine hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 79 105 237 315 395 553 711 1185 1609 1659 2765 3555 4827 4977 8045 8295 11263 14481 24135 24885 33789 56315 72405 101367 127111 168945 381333 506835 635555 889777 1143999 1906665 2669331 4448885 5719995 8007993 13346655 40039965