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42233856 = 21237491
BaseRepresentation
bin1010000100011…
…1000000000000
32221110200221220
42201013000000
541302440411
64105115040
71021660530
oct241070000
987420856
1042233856
1121926a15
1212188a80
138999562
1458754c0
153a93b06
hex2847000

42233856 has 104 divisors (see below), whose sum is σ = 128959104. Its totient is φ = 12042240.

The previous prime is 42233843. The next prime is 42233879. The reversal of 42233856 is 65833224.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85771 + ... + 86261.

Almost surely, 242233856 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 42233856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64479552).

42233856 is an abundant number, since it is smaller than the sum of its proper divisors (86725248).

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

42233856 is an equidigital number, since it uses as much as digits as its factorization.

42233856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 503 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 42233856 is about 6498.7580351941. The cubic root of 42233856 is about 348.2466213248.

The spelling of 42233856 in words is "forty-two million, two hundred thirty-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 491 512 672 768 896 982 1024 1344 1473 1536 1792 1964 2048 2688 2946 3072 3437 3584 3928 4096 5376 5892 6144 6874 7168 7856 10311 10752 11784 12288 13748 14336 15712 20622 21504 23568 27496 28672 31424 41244 43008 47136 54992 62848 82488 86016 94272 109984 125696 164976 188544 219968 251392 329952 377088 439936 502784 659904 754176 879872 1005568 1319808 1508352 1759744 2011136 2639616 3016704 3519488 5279232 6033408 7038976 10558464 14077952 21116928 42233856