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42912500 = 22553433
BaseRepresentation
bin1010001110110…
…0101011110100
32222202011212212
42203230223310
541441200000
64131432552
71030515221
oct243545364
988664785
1042912500
112224a884
1212455758
138b76417
1459b0948
153b79c35
hex28ecaf4

42912500 has 36 divisors (see below), whose sum is σ = 93892428. Its totient is φ = 17160000.

The previous prime is 42912491. The next prime is 42912511. The reversal of 42912500 is 521924.

It can be written as a sum of positive squares in 6 ways, for example, as 38019556 + 4892944 = 6166^2 + 2212^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10784 + ... + 14216.

It is an arithmetic number, because the mean of its divisors is an integer number (2608123).

Almost surely, 242912500 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 42912500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46946214).

42912500 is an abundant number, since it is smaller than the sum of its proper divisors (50979928).

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

42912500 is an equidigital number, since it uses as much as digits as its factorization.

42912500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3462 (or 3440 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 42912500 is about 6550.7633143016. The cubic root of 42912500 is about 350.1020110813.

The spelling of 42912500 in words is "forty-two million, nine hundred twelve thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 2500 3125 3433 6250 6866 12500 13732 17165 34330 68660 85825 171650 343300 429125 858250 1716500 2145625 4291250 8582500 10728125 21456250 42912500