Search a number
-
+
405442004 = 221137337739
BaseRepresentation
bin11000001010101…
…000110111010100
31001020220120212112
4120022220313110
51312243121004
6104122010152
713022125442
oct3012506724
91036816775
10405442004
11198952640
12b3946958
1365cc8616
143bbbdb92
15258dae6e
hex182a8dd4

405442004 has 48 divisors (see below), whose sum is σ = 798383040. Its totient is φ = 178536960.

The previous prime is 405442001. The next prime is 405442031. The reversal of 405442004 is 400244504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405442001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 548267 + ... + 549005.

It is an arithmetic number, because the mean of its divisors is an integer number (16632980).

Almost surely, 2405442004 is an apocalyptic number.

405442004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

405442004 is a deficient number, since it is larger than the sum of its proper divisors (392941036).

405442004 is a wasteful number, since it uses less digits than its factorization.

405442004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 23.

The square root of 405442004 is about 20135.5904805397. The cubic root of 405442004 is about 740.1326789125.

Adding to 405442004 its reverse (400244504), we get a palindrome (805686508).

The spelling of 405442004 in words is "four hundred five million, four hundred forty-two thousand, four".

Divisors: 1 2 4 11 22 37 44 74 148 337 407 674 739 814 1348 1478 1628 2956 3707 7414 8129 12469 14828 16258 24938 27343 32516 49876 54686 109372 137159 249043 274318 300773 498086 548636 601546 996172 1203092 2739473 5478946 9214591 10957892 18429182 36858364 101360501 202721002 405442004