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42290496 = 263273421
BaseRepresentation
bin1010000101010…
…0110101000000
32221120120122200
42201110311000
541311243441
64110233200
71022314623
oct241246500
987516580
1042290496
1121965526
12121b5800
1389b9281
14588bdba
153aa57b6
hex2854d40

42290496 has 42 divisors (see below), whose sum is σ = 121219722. Its totient is φ = 14096640.

The previous prime is 42290489. The next prime is 42290503. The reversal of 42290496 is 69409224.

It is an interprime number because it is at equal distance from previous prime (42290489) and next prime (42290503).

It can be written as a sum of positive squares in only one way, i.e., 25644096 + 16646400 = 5064^2 + 4080^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42290496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36135 + ... + 37286.

Almost surely, 242290496 is an apocalyptic number.

It is an amenable number.

42290496 is an abundant number, since it is smaller than the sum of its proper divisors (78929226).

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

42290496 is a wasteful number, since it uses less digits than its factorization.

42290496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73439 (or 73426 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 42290496 is about 6503.1143308418. The cubic root of 42290496 is about 348.4022301139.

The spelling of 42290496 in words is "forty-two million, two hundred ninety thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 73421 146842 220263 293684 440526 587368 660789 881052 1174736 1321578 1762104 2349472 2643156 3524208 4698944 5286312 7048416 10572624 14096832 21145248 42290496