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424906440 = 233572127569
BaseRepresentation
bin11001010100111…
…000111011001000
31002121112111001120
4121110320323020
51332234001230
6110055115240
713346434200
oct3124707310
91077474046
10424906440
111a8937552
12ba372b20
136a05203a
1440609400
1527483310
hex19538ec8

424906440 has 192 divisors, whose sum is σ = 1497139200. Its totient is φ = 96187392.

The previous prime is 424906423. The next prime is 424906451. The reversal of 424906440 is 44609424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 746476 + ... + 747044.

It is an arithmetic number, because the mean of its divisors is an integer number (7797600).

Almost surely, 2424906440 is an apocalyptic number.

424906440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424906440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748569600).

424906440 is an abundant number, since it is smaller than the sum of its proper divisors (1072232760).

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

424906440 is a wasteful number, since it uses less digits than its factorization.

424906440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 424906440 is about 20613.2588398826. The cubic root of 424906440 is about 751.7921232040.

The spelling of 424906440 in words is "four hundred twenty-four million, nine hundred six thousand, four hundred forty".