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42269696 = 21075897
BaseRepresentation
bin1010000100111…
…1110000000000
32221112112010022
42201033300000
541310112241
64105553012
71022200160
oct241176000
987475108
1042269696
1121950937
12121a5768
1389ac971
1458845a0
153a9e54b
hex284fc00

42269696 has 44 divisors (see below), whose sum is σ = 96585648. Its totient is φ = 18112512.

The previous prime is 42269683. The next prime is 42269707. The reversal of 42269696 is 69696224.

It is a super-3 number, since 3×422696963 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4220 + ... + 10116.

Almost surely, 242269696 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 42269696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48292824).

42269696 is an abundant number, since it is smaller than the sum of its proper divisors (54315952).

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

42269696 is an equidigital number, since it uses as much as digits as its factorization.

42269696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5924 (or 5906 counting only the distinct ones).

The product of its digits is 279936, while the sum is 44.

The square root of 42269696 is about 6501.5149003905. The cubic root of 42269696 is about 348.3451017953.

The spelling of 42269696 in words is "forty-two million, two hundred sixty-nine thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 3584 5897 7168 11794 23588 41279 47176 82558 94352 165116 188704 330232 377408 660464 754816 1320928 1509632 2641856 3019264 5283712 6038528 10567424 21134848 42269696