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42151040 = 27567983
BaseRepresentation
bin1010000011001…
…0110010000000
32221022111100122
42200302302000
541242313130
64103235412
71021164221
oct240626200
987274318
1042151040
112187a778
1212148b68
13896a959
145853248
153a792e5
hex2832c80

42151040 has 64 divisors (see below), whose sum is σ = 102375360. Its totient is φ = 16591872.

The previous prime is 42151027. The next prime is 42151049. The reversal of 42151040 is 4015124.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (42151049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42389 + ... + 43371.

It is an arithmetic number, because the mean of its divisors is an integer number (1599615).

Almost surely, 242151040 is an apocalyptic number.

42151040 is a gapful number since it is divisible by the number (40) 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 42151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51187680).

42151040 is an abundant number, since it is smaller than the sum of its proper divisors (60224320).

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

42151040 is an equidigital number, since it uses as much as digits as its factorization.

42151040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 42151040 is about 6492.3832296007. The cubic root of 42151040 is about 348.0188477923.

Adding to 42151040 its reverse (4015124), we get a palindrome (46166164).

The spelling of 42151040 in words is "forty-two million, one hundred fifty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 80 128 134 160 268 320 335 536 640 670 983 1072 1340 1966 2144 2680 3932 4288 4915 5360 7864 8576 9830 10720 15728 19660 21440 31456 39320 42880 62912 65861 78640 125824 131722 157280 263444 314560 329305 526888 629120 658610 1053776 1317220 2107552 2634440 4215104 5268880 8430208 10537760 21075520 42151040