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45876438 = 2321728819
BaseRepresentation
bin1010111100000…
…0010011010110
310012022202122100
42233000103112
543221021223
64315142530
71064641356
oct257002326
9105282570
1045876438
1123994713
1213444a46
13967352a
146142b66
154063043
hex2bc04d6

45876438 has 36 divisors (see below), whose sum is σ = 105601860. Its totient is φ = 14390976.

The previous prime is 45876433. The next prime is 45876443. The reversal of 45876438 is 83467854.

45876438 is a `hidden beast` number, since 4 + 587 + 64 + 3 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (45876433) and next prime (45876443).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 45876393 and 45876402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45876433) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 793 + ... + 9611.

It is an arithmetic number, because the mean of its divisors is an integer number (2933385).

Almost surely, 245876438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45876438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52800930).

45876438 is an abundant number, since it is smaller than the sum of its proper divisors (59725422).

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

45876438 is a wasteful number, since it uses less digits than its factorization.

45876438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8861 (or 8841 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 45876438 is about 6773.2147463372. The cubic root of 45876438 is about 357.9836816215.

It can be divided in two parts, 4587 and 6438, that added together give a square (11025 = 1052).

The spelling of 45876438 in words is "forty-five million, eight hundred seventy-six thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 289 306 578 867 1734 2601 5202 8819 17638 26457 52914 79371 149923 158742 299846 449769 899538 1349307 2548691 2698614 5097382 7646073 15292146 22938219 45876438