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42266196 = 22327179937
BaseRepresentation
bin1010000100111…
…0111001010100
32221112100022200
42201032321110
541310004241
64105524500
71022154030
oct241167124
987470280
1042266196
1121949245
12121a3730
1389ab1ab
1458831c0
153a9d4b6
hex284ee54

42266196 has 72 divisors (see below), whose sum is σ = 122915520. Its totient is φ = 11995776.

The previous prime is 42266183. The next prime is 42266201. The reversal of 42266196 is 69166224.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 42266196.

It is a congruent number.

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, 44640 + ... + 45576.

It is an arithmetic number, because the mean of its divisors is an integer number (1707160).

Almost surely, 242266196 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 42266196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61457760).

42266196 is an abundant number, since it is smaller than the sum of its proper divisors (80649324).

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

42266196 is a wasteful number, since it uses less digits than its factorization.

42266196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1128 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 42266196 is about 6501.2457267819. The cubic root of 42266196 is about 348.3354870151.

The spelling of 42266196 in words is "forty-two million, two hundred sixty-six thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 179 252 358 537 716 937 1074 1253 1611 1874 2148 2506 2811 3222 3748 3759 5012 5622 6444 6559 7518 8433 11244 11277 13118 15036 16866 19677 22554 26236 33732 39354 45108 59031 78708 118062 167723 236124 335446 503169 670892 1006338 1174061 1509507 2012676 2348122 3019014 3522183 4696244 6038028 7044366 10566549 14088732 21133098 42266196