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40813216 = 251923533
BaseRepresentation
bin1001101110110…
…0001010100000
32211210112012121
42123230022200
540422010331
64014434024
71003622653
oct233541240
984715177
1040813216
1121046634
1211802914
1385bca42
1455c589a
1538b2c11
hex26ec2a0

40813216 has 36 divisors (see below), whose sum is σ = 84826602. Its totient is φ = 19327104.

The previous prime is 40813207. The next prime is 40813229. The reversal of 40813216 is 61231804.

It can be written as a sum of positive squares in only one way, i.e., 29116816 + 11696400 = 5396^2 + 3420^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9786 + ... + 13318.

Almost surely, 240813216 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 40813216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42413301).

40813216 is an abundant number, since it is smaller than the sum of its proper divisors (44013386).

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

40813216 is a wasteful number, since it uses less digits than its factorization.

40813216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3581 (or 3554 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 40813216 is about 6388.5222078349. The cubic root of 40813216 is about 344.2972912256.

The spelling of 40813216 in words is "forty million, eight hundred thirteen thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 361 608 722 1444 2888 3533 5776 7066 11552 14132 28264 56528 67127 113056 134254 268508 537016 1074032 1275413 2148064 2550826 5101652 10203304 20406608 40813216