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42892544 = 281311279
BaseRepresentation
bin1010001110011…
…1110100000000
32222201011111202
42203213310000
541440030134
64131200332
71030403102
oct243476400
988634452
1042892544
1122236892
12124460a8
138b6a306
1459a7572
153b73d7e
hex28e7d00

42892544 has 36 divisors (see below), whose sum is σ = 86338560. Its totient is φ = 21265920.

The previous prime is 42892541. The next prime is 42892573. The reversal of 42892544 is 44529824.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 42892498 and 42892507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42892541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32897 + ... + 34175.

Almost surely, 242892544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42892544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43169280).

42892544 is an abundant number, since it is smaller than the sum of its proper divisors (43446016).

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

42892544 is a wasteful number, since it uses less digits than its factorization.

42892544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1412 counting only the distinct ones).

The product of its digits is 92160, while the sum is 38.

The square root of 42892544 is about 6549.2399559033. The cubic root of 42892544 is about 350.0477322656.

The spelling of 42892544 in words is "forty-two million, eight hundred ninety-two thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 131 256 262 524 1048 1279 2096 2558 4192 5116 8384 10232 16768 20464 33536 40928 81856 163712 167549 327424 335098 670196 1340392 2680784 5361568 10723136 21446272 42892544