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42463620 = 223251713877
BaseRepresentation
bin1010000111111…
…1000110000100
32221220101010200
42201333012010
541332313440
64114050500
71023635433
oct241770604
987811120
1042463620
1121a73601
1212279a30
138a4a004
1458d511a
153adbc30
hex287f184

42463620 has 72 divisors (see below), whose sum is σ = 136392984. Its totient is φ = 10656768.

The previous prime is 42463579. The next prime is 42463621. The reversal of 42463620 is 2636424.

42463620 is a `hidden beast` number, since 4 + 2 + 4 + 636 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1937664 + 40525956 = 1392^2 + 6366^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42463621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3879 + ... + 9998.

It is an arithmetic number, because the mean of its divisors is an integer number (1894347).

Almost surely, 242463620 is an apocalyptic number.

It is an amenable number.

42463620 is an abundant number, since it is smaller than the sum of its proper divisors (93929364).

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

42463620 is a wasteful number, since it uses less digits than its factorization.

42463620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13909 (or 13904 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 42463620 is about 6516.4115892107. The cubic root of 42463620 is about 348.8769992628.

The spelling of 42463620 in words is "forty-two million, four hundred sixty-three thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 13877 27754 41631 55508 69385 83262 124893 138770 166524 208155 235909 249786 277540 416310 471818 499572 624465 707727 832620 943636 1179545 1248930 1415454 2123181 2359090 2497860 2830908 3538635 4246362 4718180 7077270 8492724 10615905 14154540 21231810 42463620