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40375728 = 24322571091
BaseRepresentation
bin1001101000000…
…1010110110000
32210222022002100
42122001112300
540314010403
64001220400
71000121331
oct232012660
983868070
1040375728
1120877978
1211631700
138498883
145510288
1538282a3
hex26815b0

40375728 has 60 divisors (see below), whose sum is σ = 113539608. Its totient is φ = 13393920.

The previous prime is 40375721. The next prime is 40375729. The reversal of 40375728 is 82757304.

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 = 40375692 and 40375701.

It is not an unprimeable number, because it can be changed into a prime (40375721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36463 + ... + 37553.

Almost surely, 240375728 is an apocalyptic number.

40375728 is a gapful number since it is divisible by the number (48) 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 40375728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56769804).

40375728 is an abundant number, since it is smaller than the sum of its proper divisors (73163880).

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

40375728 is a wasteful number, since it uses less digits than its factorization.

40375728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 40375728 is about 6354.1897988650. The cubic root of 40375728 is about 343.0626636836.

The spelling of 40375728 in words is "forty million, three hundred seventy-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 257 514 771 1028 1091 1542 2056 2182 2313 3084 3273 4112 4364 4626 6168 6546 8728 9252 9819 12336 13092 17456 18504 19638 26184 37008 39276 52368 78552 157104 280387 560774 841161 1121548 1682322 2243096 2523483 3364644 4486192 5046966 6729288 10093932 13458576 20187864 40375728