Search a number
-
+
40295616 = 263297237
BaseRepresentation
bin1001100110110…
…1110011000000
32210211020012020
42121231303000
540303424431
63555401440
7666335634
oct231556300
983736166
1040295616
1120822769
12115b3280
13846b27a
1454ccdc4
15380e696
hex266dcc0

40295616 has 56 divisors (see below), whose sum is σ = 110307120. Its totient is φ = 12966912.

The previous prime is 40295611. The next prime is 40295617. The reversal of 40295616 is 61659204.

It is not an unprimeable number, because it can be changed into a prime (40295611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1950 + ... + 9186.

It is an arithmetic number, because the mean of its divisors is an integer number (1969770).

Almost surely, 240295616 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 40295616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55153560).

40295616 is an abundant number, since it is smaller than the sum of its proper divisors (70011504).

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

40295616 is a wasteful number, since it uses less digits than its factorization.

40295616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7281 (or 7271 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 40295616 is about 6347.8827966496. The cubic root of 40295616 is about 342.8356161088.

The spelling of 40295616 in words is "forty million, two hundred ninety-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 696 928 1392 1856 2784 5568 7237 14474 21711 28948 43422 57896 86844 115792 173688 209873 231584 347376 419746 463168 629619 694752 839492 1259238 1389504 1678984 2518476 3357968 5036952 6715936 10073904 13431872 20147808 40295616