Search a number
-
+
406948446 = 23261457811
BaseRepresentation
bin11000010000011…
…000101001011110
31001100202010022200
4120100120221132
51313134322241
6104214152330
713041001422
oct3020305136
91040663280
10406948446
11199791433
12b43526a6
13664051c8
143c092b82
1525ad74b6
hex18418a5e

406948446 has 48 divisors (see below), whose sum is σ = 899244528. Its totient is φ = 132969600.

The previous prime is 406948427. The next prime is 406948447. The reversal of 406948446 is 644849604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406948447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 501381 + ... + 502191.

It is an arithmetic number, because the mean of its divisors is an integer number (18734261).

Almost surely, 2406948446 is an apocalyptic number.

406948446 is an abundant number, since it is smaller than the sum of its proper divisors (492296082).

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

406948446 is a wasteful number, since it uses less digits than its factorization.

406948446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 406948446 is about 20172.9632429150. The cubic root of 406948446 is about 741.0482137926.

The spelling of 406948446 in words is "four hundred six million, nine hundred forty-eight thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 18 61 122 183 366 457 549 811 914 1098 1371 1622 2433 2742 4113 4866 7299 8226 14598 27877 49471 55754 83631 98942 148413 167262 250893 296826 370627 445239 501786 741254 890478 1111881 2223762 3335643 6671286 22608247 45216494 67824741 135649482 203474223 406948446