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43085064 = 23311293557
BaseRepresentation
bin1010010001011…
…0110100001000
310000001221121010
42210112310020
542012210224
64135243520
71032134301
oct244266410
9100057533
1043085064
11223584a0
12125195a0
138c06b29
145a177a8
153bb0e29
hex2916d08

43085064 has 64 divisors (see below), whose sum is σ = 118117440. Its totient is φ = 12988160.

The previous prime is 43085047. The next prime is 43085069. The reversal of 43085064 is 46058034.

It is not an unprimeable number, because it can be changed into a prime (43085069) 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, 77074 + ... + 77630.

It is an arithmetic number, because the mean of its divisors is an integer number (1845585).

Almost surely, 243085064 is an apocalyptic number.

43085064 is a gapful number since it is divisible by the number (44) 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 43085064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59058720).

43085064 is an abundant number, since it is smaller than the sum of its proper divisors (75032376).

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

43085064 is a wasteful number, since it uses less digits than its factorization.

43085064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 43085064 is about 6563.9213889260. The cubic root of 43085064 is about 350.5706717404.

The spelling of 43085064 in words is "forty-three million, eighty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 293 557 586 879 1114 1172 1671 1758 2228 2344 3223 3342 3516 4456 6127 6446 6684 7032 9669 12254 12892 13368 18381 19338 24508 25784 36762 38676 49016 73524 77352 147048 163201 326402 489603 652804 979206 1305608 1795211 1958412 3590422 3916824 5385633 7180844 10771266 14361688 21542532 43085064