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42773864 = 2372195743
BaseRepresentation
bin1010001100101…
…0110101101000
32222111010201012
42203022311220
541422230424
64124443052
71026400100
oct243126550
988433635
1042773864
1122165701
12123a9488
138b282a3
145976200
153b4db0e
hex28cad68

42773864 has 48 divisors (see below), whose sum is σ = 98222400. Its totient is φ = 17363808.

The previous prime is 42773849. The next prime is 42773873. The reversal of 42773864 is 46837724.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4577 + ... + 10319.

It is an arithmetic number, because the mean of its divisors is an integer number (2046300).

Almost surely, 242773864 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 42773864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49111200).

42773864 is an abundant number, since it is smaller than the sum of its proper divisors (55448536).

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

42773864 is a wasteful number, since it uses less digits than its factorization.

42773864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5782 (or 5771 counting only the distinct ones).

The product of its digits is 225792, while the sum is 41.

The square root of 42773864 is about 6540.1730863946. The cubic root of 42773864 is about 349.7245833302.

The spelling of 42773864 in words is "forty-two million, seven hundred seventy-three thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 133 152 196 266 392 532 931 1064 1862 3724 5743 7448 11486 22972 40201 45944 80402 109117 160804 218234 281407 321608 436468 562814 763819 872936 1125628 1527638 2251256 3055276 5346733 6110552 10693466 21386932 42773864