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42800280 = 2335973677
BaseRepresentation
bin1010001101000…
…1010010011000
32222112110221120
42203101102120
541424102110
64125205240
71026540105
oct243212230
988473846
1042800280
1122183536
1212400820
138b37313
145981aac
153b56870
hex28d1498

42800280 has 64 divisors (see below), whose sum is σ = 129759840. Its totient is φ = 11292672.

The previous prime is 42800279. The next prime is 42800281. The reversal of 42800280 is 8200824.

It is an interprime number because it is at equal distance from previous prime (42800279) and next prime (42800281).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42800280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42800281) 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, 9802 + ... + 13478.

Almost surely, 242800280 is an apocalyptic number.

42800280 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 42800280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64879920).

42800280 is an abundant number, since it is smaller than the sum of its proper divisors (86959560).

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

42800280 is a wasteful number, since it uses less digits than its factorization.

42800280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3788 (or 3784 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 42800280 is about 6542.1922931079. The cubic root of 42800280 is about 349.7965620464.

The spelling of 42800280 in words is "forty-two million, eight hundred thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 97 120 194 291 388 485 582 776 970 1164 1455 1940 2328 2910 3677 3880 5820 7354 11031 11640 14708 18385 22062 29416 36770 44124 55155 73540 88248 110310 147080 220620 356669 441240 713338 1070007 1426676 1783345 2140014 2853352 3566690 4280028 5350035 7133380 8560056 10700070 14266760 21400140 42800280