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42276780 = 223257132989
BaseRepresentation
bin1010000101000…
…1011110101100
32221112212211200
42201101132230
541310324110
64110045500
71022226630
oct241213654
987485750
1042276780
1121956197
12121a9890
1389b2c60
145886dc0
153aa16c0
hex28517ac

42276780 has 288 divisors, whose sum is σ = 165110400. Its totient is φ = 8515584.

The previous prime is 42276779. The next prime is 42276811. The reversal of 42276780 is 8767224.

It is a super-2 number, since 2×422767802 = 3574652254336800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 474976 + ... + 475064.

It is an arithmetic number, because the mean of its divisors is an integer number (573300).

Almost surely, 242276780 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 42276780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82555200).

42276780 is an abundant number, since it is smaller than the sum of its proper divisors (122833620).

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

42276780 is a wasteful number, since it uses less digits than its factorization.

42276780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 42276780 is about 6502.0596736726. The cubic root of 42276780 is about 348.3645604863.

The spelling of 42276780 in words is "forty-two million, two hundred seventy-six thousand, seven hundred eighty".