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42300416 = 210101409
BaseRepresentation
bin1010000101011…
…1010000000000
32221121002021002
42201113100000
541312103131
64110351132
71022355554
oct241272000
987532232
1042300416
1121971a24
12121bb4a8
1389c0942
145891864
153aa86cb
hex2857400

42300416 has 44 divisors (see below), whose sum is σ = 85605540. Its totient is φ = 20889600.

The previous prime is 42300409. The next prime is 42300449. The reversal of 42300416 is 61400324.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 39740416 + 2560000 = 6304^2 + 1600^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 103220 + ... + 103628.

Almost surely, 242300416 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 42300416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42802770).

42300416 is an abundant number, since it is smaller than the sum of its proper divisors (43305124).

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

42300416 is a wasteful number, since it uses less digits than its factorization.

42300416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 42300416 is about 6503.8769976069. The cubic root of 42300416 is about 348.4294693304.

The spelling of 42300416 in words is "forty-two million, three hundred thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 101 128 202 256 404 409 512 808 818 1024 1616 1636 3232 3272 6464 6544 12928 13088 25856 26176 41309 51712 52352 82618 103424 104704 165236 209408 330472 418816 660944 1321888 2643776 5287552 10575104 21150208 42300416