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40940724 = 223112691153
BaseRepresentation
bin1001110000101…
…1010010110100
32212001000010010
42130023102310
540440100344
64021300220
71004663466
oct234132264
985030103
1040940724
1121123410
1211864670
138635aa6
14561a136
1538da8b9
hex270b4b4

40940724 has 48 divisors (see below), whose sum is σ = 104690880. Its totient is φ = 12349440.

The previous prime is 40940689. The next prime is 40940729. The reversal of 40940724 is 42704904.

It is a super-2 number, since 2×409407242 = 3352285763288352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40940691 and 40940700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40940729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34932 + ... + 36084.

It is an arithmetic number, because the mean of its divisors is an integer number (2181060).

Almost surely, 240940724 is an apocalyptic number.

40940724 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 40940724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52345440).

40940724 is an abundant number, since it is smaller than the sum of its proper divisors (63750156).

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

40940724 is a wasteful number, since it uses less digits than its factorization.

40940724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 40940724 is about 6398.4938852827. The cubic root of 40940724 is about 344.6554678538.

The spelling of 40940724 in words is "forty million, nine hundred forty thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 269 538 807 1076 1153 1614 2306 2959 3228 3459 4612 5918 6918 8877 11836 12683 13836 17754 25366 35508 38049 50732 76098 152196 310157 620314 930471 1240628 1860942 3411727 3721884 6823454 10235181 13646908 20470362 40940724