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42153849 = 3229373433
BaseRepresentation
bin1010000011001…
…1011101111001
32221022122012200
42200303131321
541242410344
64103300413
71021205343
oct240633571
987278180
1042153849
11218818a1
121214a709
13896c00a
145854293
153a7a069
hex2833779

42153849 has 24 divisors (see below), whose sum is σ = 63303240. Its totient is φ = 26998272.

The previous prime is 42153833. The next prime is 42153851. The reversal of 42153849 is 94835124.

It can be written as a sum of positive squares in 4 ways, for example, as 1742400 + 40411449 = 1320^2 + 6357^2 .

It is not a de Polignac number, because 42153849 - 24 = 42153833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42153869) 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, 97137 + ... + 97569.

It is an arithmetic number, because the mean of its divisors is an integer number (2637635).

Almost surely, 242153849 is an apocalyptic number.

It is an amenable number.

42153849 is a deficient number, since it is larger than the sum of its proper divisors (21149391).

42153849 is a wasteful number, since it uses less digits than its factorization.

42153849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 838 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 42153849 is about 6492.5995564181. The cubic root of 42153849 is about 348.0265784298.

The spelling of 42153849 in words is "forty-two million, one hundred fifty-three thousand, eight hundred forty-nine".

Divisors: 1 3 9 29 87 261 373 433 1119 1299 3357 3897 10817 12557 32451 37671 97353 113013 161509 484527 1453581 4683761 14051283 42153849