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42899200 = 28526703
BaseRepresentation
bin1010001110100…
…1011100000000
32222201111122021
42203221130000
541440233300
64131251224
71030431361
oct243513400
988644567
1042899200
1122240893
1212449b14
138b70356
1459a9b68
153b75d1a
hex28e9700

42899200 has 54 divisors (see below), whose sum is σ = 106198064. Its totient is φ = 17157120.

The previous prime is 42899183. The next prime is 42899201. The reversal of 42899200 is 299824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42899201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3049 + ... + 9751.

Almost surely, 242899200 is an apocalyptic number.

42899200 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 42899200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53099032).

42899200 is an abundant number, since it is smaller than the sum of its proper divisors (63298864).

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

42899200 is an equidigital number, since it uses as much as digits as its factorization.

42899200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6729 (or 6710 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 42899200 is about 6549.7480867588. The cubic root of 42899200 is about 350.0658379547.

The spelling of 42899200 in words is "forty-two million, eight hundred ninety-nine thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 800 1280 1600 3200 6400 6703 13406 26812 33515 53624 67030 107248 134060 167575 214496 268120 335150 428992 536240 670300 857984 1072480 1340600 1715968 2144960 2681200 4289920 5362400 8579840 10724800 21449600 42899200