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42130548 = 22325371311
BaseRepresentation
bin1010000010110…
…1110001110100
32221021110020200
42200231301310
541241134143
64103000500
71021050405
oct240556164
987243220
1042130548
1121866339
1212139130
138961525
1458499ac
153a731d3
hex282dc74

42130548 has 72 divisors (see below), whose sum is σ = 110388096. Its totient is φ = 13540800.

The previous prime is 42130541. The next prime is 42130559. The reversal of 42130548 is 84503124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42130541) 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, 135313 + ... + 135623.

It is an arithmetic number, because the mean of its divisors is an integer number (1533168).

Almost surely, 242130548 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 42130548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55194048).

42130548 is an abundant number, since it is smaller than the sum of its proper divisors (68257548).

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

42130548 is a wasteful number, since it uses less digits than its factorization.

42130548 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 42130548 is about 6490.8048807525. The cubic root of 42130548 is about 347.9624414480.

It can be divided in two parts, 42 and 130548, that multiplied together give a triangular number (5483016 = T3311).

The spelling of 42130548 in words is "forty-two million, one hundred thirty thousand, five hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 53 71 106 142 159 212 213 284 311 318 426 477 622 636 639 852 933 954 1244 1278 1866 1908 2556 2799 3732 3763 5598 7526 11196 11289 15052 16483 22081 22578 32966 33867 44162 45156 49449 65932 66243 67734 88324 98898 132486 135468 148347 197796 198729 264972 296694 397458 593388 794916 1170293 2340586 3510879 4681172 7021758 10532637 14043516 21065274 42130548