Search a number
-
+
2405352 = 233315361
BaseRepresentation
bin1001001011001111101000
311112012112010
421023033220
51103432402
6123315520
726305455
oct11131750
94465463
102405352
1113a31a4
1297bba0
13662ab1
1446882c
15327a6c
hex24b3e8

2405352 has 64 divisors (see below), whose sum is σ = 6428160. Its totient is φ = 748800.

The previous prime is 2405341. The next prime is 2405353. The reversal of 2405352 is 2535042.

2405352 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2405353) 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 15 ways as a sum of consecutive naturals, for example, 39402 + ... + 39462.

It is an arithmetic number, because the mean of its divisors is an integer number (100440).

22405352 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 2405352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214080).

2405352 is an abundant number, since it is smaller than the sum of its proper divisors (4022808).

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

2405352 is a wasteful number, since it uses less digits than its factorization.

2405352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 2405352 is about 1550.9197271297. The cubic root of 2405352 is about 133.9860384949.

The spelling of 2405352 in words is "two million, four hundred five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 31 53 61 62 93 106 122 124 159 183 186 212 244 248 318 366 372 424 488 636 732 744 1272 1464 1643 1891 3233 3286 3782 4929 5673 6466 6572 7564 9699 9858 11346 12932 13144 15128 19398 19716 22692 25864 38796 39432 45384 77592 100223 200446 300669 400892 601338 801784 1202676 2405352