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42866496 = 26348269
BaseRepresentation
bin1010001110000…
…1011101000000
32222122211210000
42203201131000
541433211441
64130440000
71030234131
oct243413500
988584700
1042866496
1122219262
1212433000
138b5b4ba
14599bc88
153b6b2b6
hex28e1740

42866496 has 70 divisors (see below), whose sum is σ = 127085090. Its totient is φ = 14287104.

The previous prime is 42866471. The next prime is 42866497. The reversal of 42866496 is 69466824.

It can be written as a sum of positive squares in only one way, i.e., 41990400 + 876096 = 6480^2 + 936^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42866497) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1050 + ... + 9318.

Almost surely, 242866496 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 42866496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63542545).

42866496 is an abundant number, since it is smaller than the sum of its proper divisors (84218594).

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

42866496 is an equidigital number, since it uses as much as digits as its factorization.

42866496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8293 (or 8274 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 42866496 is about 6547.2510261941. The cubic root of 42866496 is about 349.9768583339.

The spelling of 42866496 in words is "forty-two million, eight hundred sixty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 8269 16538 24807 33076 49614 66152 74421 99228 132304 148842 198456 223263 264608 297684 396912 446526 529216 595368 669789 793824 893052 1190736 1339578 1587648 1786104 2381472 2679156 3572208 4762944 5358312 7144416 10716624 14288832 21433248 42866496