Search a number
-
+
402748632 = 2333111321759
BaseRepresentation
bin11000000000010…
…111010011011000
31001001211202021000
4120000113103120
51311100424012
6103544145000
712660210156
oct3000272330
91031752230
10402748632
11197383010
12b2a68160
1365594700
143b6bc3d6
1525557ddc
hex180174d8

402748632 has 384 divisors, whose sum is σ = 1423008000. Its totient is φ = 104232960.

The previous prime is 402748631. The next prime is 402748651. The reversal of 402748632 is 236847204.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402748631) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 6826219 + ... + 6826277.

It is an arithmetic number, because the mean of its divisors is an integer number (3705750).

Almost surely, 2402748632 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 402748632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711504000).

402748632 is an abundant number, since it is smaller than the sum of its proper divisors (1020259368).

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

402748632 is a wasteful number, since it uses less digits than its factorization.

402748632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 402748632 is about 20068.5981573203. The cubic root of 402748632 is about 738.4901232325.

The spelling of 402748632 in words is "four hundred two million, seven hundred forty-eight thousand, six hundred thirty-two".