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42818628 = 22319672803
BaseRepresentation
bin1010001101010…
…1110001000100
32222120102010010
42203111301010
541430144003
64125430220
71026644436
oct243256104
988512103
1042818628
11221962a6
121240b370
138b42788
145988656
153b5c003
hex28d5c44

42818628 has 48 divisors (see below), whose sum is σ = 106776320. Its totient is φ = 13315104.

The previous prime is 42818623. The next prime is 42818639. The reversal of 42818628 is 82681824.

It is not an unprimeable number, because it can be changed into a prime (42818623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13875 + ... + 16677.

Almost surely, 242818628 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 42818628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53388160).

42818628 is an abundant number, since it is smaller than the sum of its proper divisors (63957692).

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

42818628 is a wasteful number, since it uses less digits than its factorization.

42818628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2896 (or 2894 counting only the distinct ones).

The product of its digits is 49152, while the sum is 39.

The square root of 42818628 is about 6543.5944250847. The cubic root of 42818628 is about 349.8465395265.

The spelling of 42818628 in words is "forty-two million, eight hundred eighteen thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 67 76 114 134 201 228 268 402 804 1273 2546 2803 3819 5092 5606 7638 8409 11212 15276 16818 33636 53257 106514 159771 187801 213028 319542 375602 563403 639084 751204 1126806 2253612 3568219 7136438 10704657 14272876 21409314 42818628