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40249728 = 273234939
BaseRepresentation
bin1001100110001…
…0100110000000
32210201220020200
42121202212000
540300442403
63554405200
7666055101
oct231424600
983656220
1040249728
11207a1242
1211590800
13845340c
1454ba3a8
153800ca3
hex2662980

40249728 has 48 divisors (see below), whose sum is σ = 115826100. Its totient is φ = 13416192.

The previous prime is 40249723. The next prime is 40249739. The reversal of 40249728 is 82794204.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40249692 and 40249701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40249721) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16318 + ... + 18621.

Almost surely, 240249728 is an apocalyptic number.

40249728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40249728 is an abundant number, since it is smaller than the sum of its proper divisors (75576372).

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

40249728 is a wasteful number, since it uses less digits than its factorization.

40249728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34959 (or 34944 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 40249728 is about 6344.2673335855. The cubic root of 40249728 is about 342.7054281140.

The spelling of 40249728 in words is "forty million, two hundred forty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 34939 69878 104817 139756 209634 279512 314451 419268 559024 628902 838536 1118048 1257804 1677072 2236096 2515608 3354144 4472192 5031216 6708288 10062432 13416576 20124864 40249728