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40858128 = 2433271349
BaseRepresentation
bin1001101111011…
…1001000010000
32211212210211000
42123313020100
540424430003
64015422000
71004200623
oct233671020
984783730
1040858128
1121077353
1211824900
13860730c
1455d7dba
1538c11a3
hex26f7210

40858128 has 80 divisors (see below), whose sum is σ = 118048000. Its totient is φ = 13530240.

The previous prime is 40858091. The next prime is 40858163. The reversal of 40858128 is 82185804.

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 = 40858092 and 40858101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116898 + ... + 117246.

It is an arithmetic number, because the mean of its divisors is an integer number (1475600).

Almost surely, 240858128 is an apocalyptic number.

40858128 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 40858128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59024000).

40858128 is an abundant number, since it is smaller than the sum of its proper divisors (77189872).

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

40858128 is a wasteful number, since it uses less digits than its factorization.

40858128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 40858128 is about 6392.0362952662. The cubic root of 40858128 is about 344.4235363730.

The spelling of 40858128 in words is "forty million, eight hundred fifty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 271 349 432 542 698 813 1047 1084 1396 1626 2094 2168 2439 2792 3141 3252 4188 4336 4878 5584 6282 6504 7317 8376 9423 9756 12564 13008 14634 16752 18846 19512 25128 29268 37692 39024 50256 58536 75384 94579 117072 150768 189158 283737 378316 567474 756632 851211 1134948 1513264 1702422 2269896 2553633 3404844 4539792 5107266 6809688 10214532 13619376 20429064 40858128