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42017136 = 2437235437
BaseRepresentation
bin1010000001001…
…0000101110000
32221001200200020
42200102011300
541224022021
64100323440
71020065640
oct240220560
987050606
1042017136
1121799107
12120a3580
138921a15
14581a520
153a4e7c6
hex2812170

42017136 has 80 divisors (see below), whose sum is σ = 129467904. Its totient is φ = 11480832.

The previous prime is 42017119. The next prime is 42017137. The reversal of 42017136 is 63171024.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42017137) 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, 5010 + ... + 10446.

Almost surely, 242017136 is an apocalyptic number.

42017136 is a gapful number since it is divisible by the number (46) 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 42017136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64733952).

42017136 is an abundant number, since it is smaller than the sum of its proper divisors (87450768).

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

42017136 is a wasteful number, since it uses less digits than its factorization.

42017136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5478 (or 5472 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 42017136 is about 6482.0626346866. The cubic root of 42017136 is about 347.6499320232.

The spelling of 42017136 in words is "forty-two million, seventeen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 483 552 644 966 1104 1288 1932 2576 3864 5437 7728 10874 16311 21748 32622 38059 43496 65244 76118 86992 114177 125051 130488 152236 228354 250102 260976 304472 375153 456708 500204 608944 750306 875357 913416 1000408 1500612 1750714 1826832 2000816 2626071 3001224 3501428 5252142 6002448 7002856 10504284 14005712 21008568 42017136