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42823505400 = 233521329312197
BaseRepresentation
bin100111111000011110…
…101101010111111000
311002112102222110202120
4213320132231113320
51200200304133100
631401200201240
73044130534654
oct477036552770
9132472873676
1042823505400
1117185830485
128371609220
13406601c610
14210358da64
1511a98160a0
hex9f87ad5f8

42823505400 has 576 divisors, whose sum is σ = 153594856800. Its totient is φ = 9799372800.

The previous prime is 42823505341. The next prime is 42823505423. The reversal of 42823505400 is 450532824.

It is a super-2 number, since 2×428235054002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 217378102 + ... + 217378298.

Almost surely, 242823505400 is an apocalyptic number.

42823505400 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 42823505400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76797428400).

42823505400 is an abundant number, since it is smaller than the sum of its proper divisors (110771351400).

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

42823505400 is a wasteful number, since it uses less digits than its factorization.

42823505400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The spelling of 42823505400 in words is "forty-two billion, eight hundred twenty-three million, five hundred five thousand, four hundred".