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402741252 = 223219718293
BaseRepresentation
bin11000000000010…
…101100000000100
31001001211101010200
4120000111200010
51311100210002
6103544050500
712660146514
oct3000254004
91031741120
10402741252
11197378511
12b2a63a30
1365591244
143b6b9844
1525555b1c
hex18015804

402741252 has 72 divisors (see below), whose sum is σ = 1086845760. Its totient is φ = 125375040.

The previous prime is 402741211. The next prime is 402741253. The reversal of 402741252 is 252147204.

402741252 is a `hidden beast` number, since 402 + 7 + 4 + 1 + 252 = 666.

It is not an unprimeable number, because it can be changed into a prime (402741253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44418 + ... + 52710.

It is an arithmetic number, because the mean of its divisors is an integer number (15095080).

Almost surely, 2402741252 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 402741252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543422880).

402741252 is an abundant number, since it is smaller than the sum of its proper divisors (684104508).

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

402741252 is a wasteful number, since it uses less digits than its factorization.

402741252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8393 (or 8388 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 402741252 is about 20068.4142871329. The cubic root of 402741252 is about 738.4856124864.

Adding to 402741252 its reverse (252147204), we get a palindrome (654888456).

The spelling of 402741252 in words is "four hundred two million, seven hundred forty-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 71 76 114 142 171 213 228 284 342 426 639 684 852 1278 1349 2556 2698 4047 5396 8094 8293 12141 16188 16586 24282 24879 33172 48564 49758 74637 99516 149274 157567 298548 315134 472701 588803 630268 945402 1177606 1418103 1766409 1890804 2355212 2836206 3532818 5299227 5672412 7065636 10598454 11187257 21196908 22374514 33561771 44749028 67123542 100685313 134247084 201370626 402741252