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42763620 = 22351076661
BaseRepresentation
bin1010001100100…
…0010101100100
32222110121122210
42203020111210
541421413440
64124323420
71026325164
oct243102544
988417583
1042763620
1122158a39
12123a3570
138b23723
1459725a4
153b4aa80
hex28c8564

42763620 has 48 divisors (see below), whose sum is σ = 120875328. Its totient is φ = 11295360.

The previous prime is 42763583. The next prime is 42763627. The reversal of 42763620 is 2636724.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (42763627) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3090 + ... + 9750.

It is an arithmetic number, because the mean of its divisors is an integer number (2518236).

Almost surely, 242763620 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 42763620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60437664).

42763620 is an abundant number, since it is smaller than the sum of its proper divisors (78111708).

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

42763620 is a wasteful number, since it uses less digits than its factorization.

42763620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6780 (or 6778 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 42763620 is about 6539.3898797977. The cubic root of 42763620 is about 349.6966623496.

The spelling of 42763620 in words is "forty-two million, seven hundred sixty-three thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 428 535 642 1070 1284 1605 2140 3210 6420 6661 13322 19983 26644 33305 39966 66610 79932 99915 133220 199830 399660 712727 1425454 2138181 2850908 3563635 4276362 7127270 8552724 10690905 14254540 21381810 42763620