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42160932 = 223311231543
BaseRepresentation
bin1010000011010…
…1001100100100
32221022222221000
42200311030210
541243122212
64103353300
71021235112
oct240651444
987288830
1042160932
1121887150
1212152830
1389722c8
145856ab2
153a7c1dc
hex2835324

42160932 has 96 divisors (see below), whose sum is σ = 124508160. Its totient is φ = 12212640.

The previous prime is 42160919. The next prime is 42160933. The reversal of 42160932 is 23906124.

42160932 is a `hidden beast` number, since 4 + 21 + 609 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 42160896 and 42160905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42160933) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26553 + ... + 28095.

It is an arithmetic number, because the mean of its divisors is an integer number (1296960).

Almost surely, 242160932 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 42160932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62254080).

42160932 is an abundant number, since it is smaller than the sum of its proper divisors (82347228).

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

42160932 is a wasteful number, since it uses less digits than its factorization.

42160932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 42160932 is about 6493.1450006911. The cubic root of 42160932 is about 348.0460700006.

The spelling of 42160932 in words is "forty-two million, one hundred sixty thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 27 33 36 44 46 54 66 69 92 99 108 132 138 198 207 253 276 297 396 414 506 594 621 759 828 1012 1188 1242 1518 1543 2277 2484 3036 3086 4554 4629 6172 6831 9108 9258 13662 13887 16973 18516 27324 27774 33946 35489 41661 50919 55548 67892 70978 83322 101838 106467 141956 152757 166644 203676 212934 305514 319401 390379 425868 458271 611028 638802 780758 916542 958203 1171137 1277604 1561516 1833084 1916406 2342274 3513411 3832812 4684548 7026822 10540233 14053644 21080466 42160932