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42160368 = 2437189139
BaseRepresentation
bin1010000011010…
…1000011110000
32221022222011010
42200311003300
541243112433
64103350520
71021233345
oct240650360
987288133
1042160368
1121886788
1212152440
138971c83
1458567cc
153a7be63
hex28350f0

42160368 has 80 divisors (see below), whose sum is σ = 112492800. Its totient is φ = 13601280.

The previous prime is 42160361. The next prime is 42160369. The reversal of 42160368 is 86306124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42160361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303243 + ... + 303381.

It is an arithmetic number, because the mean of its divisors is an integer number (1406160).

Almost surely, 242160368 is an apocalyptic number.

42160368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42160368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56246400).

42160368 is an abundant number, since it is smaller than the sum of its proper divisors (70332432).

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

42160368 is a wasteful number, since it uses less digits than its factorization.

42160368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 42160368 is about 6493.1015701281. The cubic root of 42160368 is about 348.0445180199.

The spelling of 42160368 in words is "forty-two million, one hundred sixty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 89 139 142 178 213 267 278 284 356 417 426 534 556 568 712 834 852 1068 1112 1136 1424 1668 1704 2136 2224 3336 3408 4272 6319 6672 9869 12371 12638 18957 19738 24742 25276 29607 37113 37914 39476 49484 50552 59214 74226 75828 78952 98968 101104 118428 148452 151656 157904 197936 236856 296904 303312 473712 593808 878341 1756682 2635023 3513364 5270046 7026728 10540092 14053456 21080184 42160368