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42146892 = 2235131331
BaseRepresentation
bin1010000011000…
…1110001001100
32221022021200000
42200301301030
541242200032
64103204300
71021146144
oct240616114
987267600
1042146892
1121877647
1212146690
138968ab8
145851924
153a77e7c
hex2831c4c

42146892 has 72 divisors (see below), whose sum is σ = 111663552. Its totient is φ = 13899600.

The previous prime is 42146861. The next prime is 42146903. The reversal of 42146892 is 29864124.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127167 + ... + 127497.

Almost surely, 242146892 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 42146892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55831776).

42146892 is an abundant number, since it is smaller than the sum of its proper divisors (69516660).

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

42146892 is a wasteful number, since it uses less digits than its factorization.

42146892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 467 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 42146892 is about 6492.0637704816. The cubic root of 42146892 is about 348.0074314703.

The spelling of 42146892 in words is "forty-two million, one hundred forty-six thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 131 162 243 262 324 331 393 486 524 662 786 972 993 1179 1324 1572 1986 2358 2979 3537 3972 4716 5958 7074 8937 10611 11916 14148 17874 21222 26811 31833 35748 42444 43361 53622 63666 80433 86722 107244 127332 130083 160866 173444 260166 321732 390249 520332 780498 1170747 1560996 2341494 3512241 4682988 7024482 10536723 14048964 21073446 42146892