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42764124 = 22313467587
BaseRepresentation
bin1010001100100…
…0011101011100
32222110122100110
42203020131130
541421422444
64124330020
71026326514
oct243103534
988418313
1042764124
1122159357
12123a3910
138b23a20
145972844
153b4acb9
hex28c875c

42764124 has 48 divisors (see below), whose sum is σ = 107872128. Its totient is φ = 13107648.

The previous prime is 42764123. The next prime is 42764167. The reversal of 42764124 is 42146724.

It is a junction number, because it is equal to n+sod(n) for n = 42764091 and 42764100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42764123) 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, 72559 + ... + 73145.

It is an arithmetic number, because the mean of its divisors is an integer number (2247336).

Almost surely, 242764124 is an apocalyptic number.

It is an amenable number.

42764124 is an abundant number, since it is smaller than the sum of its proper divisors (65108004).

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

42764124 is a wasteful number, since it uses less digits than its factorization.

42764124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1072 counting only the distinct ones).

The product of its digits is 10752, while the sum is 30.

The square root of 42764124 is about 6539.4284153892. The cubic root of 42764124 is about 349.6980361531.

The spelling of 42764124 in words is "forty-two million, seven hundred sixty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 467 587 934 1174 1401 1761 1868 2348 2802 3522 5604 6071 7044 7631 12142 15262 18213 22893 24284 30524 36426 45786 72852 91572 274129 548258 822387 1096516 1644774 3289548 3563677 7127354 10691031 14254708 21382062 42764124