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40385312 = 2511313701
BaseRepresentation
bin1001101000001…
…1101100100000
32210222210020022
42122003230200
540314312222
64001333012
71000161302
oct232035440
983883208
1040385312
11208840a0
1211637168
1384a0046
145513972
15382b042
hex2683b20

40385312 has 48 divisors (see below), whose sum is σ = 89558784. Its totient is φ = 17760000.

The previous prime is 40385291. The next prime is 40385321. The reversal of 40385312 is 21358304.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9062 + ... + 12762.

It is an arithmetic number, because the mean of its divisors is an integer number (1865808).

Almost surely, 240385312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40385312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44779392).

40385312 is an abundant number, since it is smaller than the sum of its proper divisors (49173472).

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

40385312 is a wasteful number, since it uses less digits than its factorization.

40385312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3753 (or 3745 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 40385312 is about 6354.9439021914. The cubic root of 40385312 is about 343.0898058357.

The spelling of 40385312 in words is "forty million, three hundred eighty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 176 248 341 352 496 682 992 1364 2728 3701 5456 7402 10912 14804 29608 40711 59216 81422 114731 118432 162844 229462 325688 458924 651376 917848 1262041 1302752 1835696 2524082 3671392 5048164 10096328 20192656 40385312