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426993504 = 253731103199
BaseRepresentation
bin11001011100110…
…110011101100000
31002202110111222020
4121130312131200
51333302243004
6110211541440
713403246010
oct3134663540
91082414866
10426993504
111aa0325a3
12babba880
136a602ca2
14409cdc40
15277468d9
hex19736760

426993504 has 192 divisors, whose sum is σ = 1341849600. Its totient is φ = 116328960.

The previous prime is 426993481. The next prime is 426993509. The reversal of 426993504 is 405399624.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426993509) 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, 2145597 + ... + 2145795.

It is an arithmetic number, because the mean of its divisors is an integer number (6988800).

Almost surely, 2426993504 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 426993504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670924800).

426993504 is an abundant number, since it is smaller than the sum of its proper divisors (914856096).

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

426993504 is a wasteful number, since it uses less digits than its factorization.

426993504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 426993504 is about 20663.8211374373. The cubic root of 426993504 is about 753.0210026081.

The spelling of 426993504 in words is "four hundred twenty-six million, nine hundred ninety-three thousand, five hundred four".