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42770430 = 23655867
BaseRepresentation
bin1010001100100…
…1111111111110
32222110222000000
42203021333332
541422123210
64124415130
71026354063
oct243117776
988428000
1042770430
112216306a
12123a74a6
138b26861
145974c6a
153b4cac0
hex28c9ffe

42770430 has 56 divisors (see below), whose sum is σ = 115447032. Its totient is φ = 11403504.

The previous prime is 42770407. The next prime is 42770437. The reversal of 42770430 is 3407724.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 42770394 and 42770403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42770437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4357 + ... + 10223.

Almost surely, 242770430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42770430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57723516).

42770430 is an abundant number, since it is smaller than the sum of its proper divisors (72676602).

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

42770430 is an equidigital number, since it uses as much as digits as its factorization.

42770430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5892 (or 5877 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 42770430 is about 6539.9105498470. The cubic root of 42770430 is about 349.7152241386.

The spelling of 42770430 in words is "forty-two million, seven hundred seventy thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 729 810 1215 1458 2430 3645 5867 7290 11734 17601 29335 35202 52803 58670 88005 105606 158409 176010 264015 316818 475227 528030 792045 950454 1425681 1584090 2376135 2851362 4277043 4752270 7128405 8554086 14256810 21385215 42770430