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41316864 = 29337727
BaseRepresentation
bin1001110110011…
…1001000000000
32212202010002020
42131213020000
541034114424
64033321440
71011121221
oct235471000
985663066
1041316864
112135aa76
1211a06280
138738064
1456b7248
153962079
hex2767200

41316864 has 80 divisors (see below), whose sum is σ = 113201088. Its totient is φ = 13381632.

The previous prime is 41316841. The next prime is 41316907. The reversal of 41316864 is 46861314.

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

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, 56469 + ... + 57195.

Almost surely, 241316864 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 41316864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56600544).

41316864 is an abundant number, since it is smaller than the sum of its proper divisors (71884224).

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

41316864 is an equidigital number, since it uses as much as digits as its factorization.

41316864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 769 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 41316864 is about 6427.8195369814. The cubic root of 41316864 is about 345.7077510384.

The spelling of 41316864 in words is "forty-one million, three hundred sixteen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 512 592 727 768 888 1184 1454 1536 1776 2181 2368 2908 3552 4362 4736 5816 7104 8724 9472 11632 14208 17448 18944 23264 26899 28416 34896 46528 53798 56832 69792 80697 93056 107596 139584 161394 186112 215192 279168 322788 372224 430384 558336 645576 860768 1116672 1291152 1721536 2582304 3443072 5164608 6886144 10329216 13772288 20658432 41316864