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40330272 = 253617197
BaseRepresentation
bin1001100111011…
…0010000100000
32210212222201210
42121312100200
540311032042
64000230120
7666541653
oct231662040
983788653
1040330272
1120846804
121160b340
138480c88
1454db89a
153819a9c
hex2676420

40330272 has 96 divisors (see below), whose sum is σ = 110242944. Its totient is φ = 12902400.

The previous prime is 40330267. The next prime is 40330289. The reversal of 40330272 is 27203304.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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, 415728 + ... + 415824.

It is an arithmetic number, because the mean of its divisors is an integer number (1148364).

Almost surely, 240330272 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 40330272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55121472).

40330272 is an abundant number, since it is smaller than the sum of its proper divisors (69912672).

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

40330272 is a wasteful number, since it uses less digits than its factorization.

40330272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 40330272 is about 6350.6119390182. The cubic root of 40330272 is about 342.9338725096.

Adding to 40330272 its reverse (27203304), we get a palindrome (67533576).

The spelling of 40330272 in words is "forty million, three hundred thirty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 71 96 97 122 142 183 194 213 244 284 291 366 388 426 488 568 582 732 776 852 976 1136 1164 1464 1552 1704 1952 2272 2328 2928 3104 3408 4331 4656 5856 5917 6816 6887 8662 9312 11834 12993 13774 17324 17751 20661 23668 25986 27548 34648 35502 41322 47336 51972 55096 69296 71004 82644 94672 103944 110192 138592 142008 165288 189344 207888 220384 284016 330576 415776 420107 568032 661152 840214 1260321 1680428 2520642 3360856 5041284 6721712 10082568 13443424 20165136 40330272