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40608464 = 24131011933
BaseRepresentation
bin1001101011101…
…0001011010000
32211102010100012
42122322023100
540343432324
64010214052
71002111011
oct232721320
984363305
1040608464
1120a16816
1211724328
13854a7a0
145571008
15387220e
hex26ba2d0

40608464 has 40 divisors (see below), whose sum is σ = 85614312. Its totient is φ = 18547200.

The previous prime is 40608443. The next prime is 40608467. The reversal of 40608464 is 46480604.

It can be written as a sum of positive squares in 4 ways, for example, as 12306064 + 28302400 = 3508^2 + 5320^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 40608464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40608467) 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, 20042 + ... + 21974.

Almost surely, 240608464 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 40608464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42807156).

40608464 is an abundant number, since it is smaller than the sum of its proper divisors (45005848).

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

40608464 is a wasteful number, since it uses less digits than its factorization.

40608464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2055 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 40608464 is about 6372.4770693977. The cubic root of 40608464 is about 343.7205681027.

The spelling of 40608464 in words is "forty million, six hundred eight thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 52 101 104 202 208 404 808 1313 1616 1933 2626 3866 5252 7732 10504 15464 21008 25129 30928 50258 100516 195233 201032 390466 402064 780932 1561864 2538029 3123728 5076058 10152116 20304232 40608464