Search a number
-
+
402433542 = 23377611399
BaseRepresentation
bin10111111111001…
…010011000000110
31001001020202001000
4113333022120012
51311010333132
6103533314130
712654425430
oct2777123006
91031222030
10402433542
11197188305
12b2935946
13654b4174
143b639650
15254e487c
hex17fca606

402433542 has 64 divisors (see below), whose sum is σ = 1024128000. Its totient is φ = 114747840.

The previous prime is 402433541. The next prime is 402433543. The reversal of 402433542 is 245334204.

It is an interprime number because it is at equal distance from previous prime (402433541) and next prime (402433543).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402433541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 286959 + ... + 288357.

It is an arithmetic number, because the mean of its divisors is an integer number (16002000).

Almost surely, 2402433542 is an apocalyptic number.

402433542 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 402433542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512064000).

402433542 is an abundant number, since it is smaller than the sum of its proper divisors (621694458).

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

402433542 is a wasteful number, since it uses less digits than its factorization.

402433542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2178 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 402433542 is about 20060.7462971845. The cubic root of 402433542 is about 738.2974873113.

Adding to 402433542 its reverse (245334204), we get a palindrome (647767746).

The spelling of 402433542 in words is "four hundred two million, four hundred thirty-three thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 761 1399 1522 2283 2798 4197 4566 5327 6849 8394 9793 10654 12591 13698 15981 19586 20547 25182 29379 31962 37773 41094 47943 58758 75546 88137 95886 143829 176274 264411 287658 528822 1064639 2129278 3193917 6387834 7452473 9581751 14904946 19163502 22357419 28745253 44714838 57490506 67072257 134144514 201216771 402433542