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42822780 = 2235711132331
BaseRepresentation
bin1010001101011…
…0110001111100
32222120121210220
42203112301330
541430312110
64125501340
71026662520
oct243266174
988517726
1042822780
1122199430
1212411850
138b44630
145989d80
153b5d370
hex28d6c7c

42822780 has 384 divisors, whose sum is σ = 173408256. Its totient is φ = 7603200.

The previous prime is 42822761. The next prime is 42822799. The reversal of 42822780 is 8722824.

It is an interprime number because it is at equal distance from previous prime (42822761) and next prime (42822799).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1381365 + ... + 1381395.

It is an arithmetic number, because the mean of its divisors is an integer number (451584).

Almost surely, 242822780 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 42822780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86704128).

42822780 is an abundant number, since it is smaller than the sum of its proper divisors (130585476).

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

42822780 is a wasteful number, since it uses less digits than its factorization.

42822780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 42822780 is about 6543.9116742205. The cubic root of 42822780 is about 349.8578470341.

The spelling of 42822780 in words is "forty-two million, eight hundred twenty-two thousand, seven hundred eighty".