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413861568 = 26318111909
BaseRepresentation
bin11000101010110…
…000011011000000
31001211202100100020
4120222300123000
51321422032233
6105022253440
713153523331
oct3052603300
91054670306
10413861568
111a268335a
12b6727280
1367985a03
143cd72288
15265009b3
hex18ab06c0

413861568 has 56 divisors (see below), whose sum is σ = 1101150960. Its totient is φ = 137180160.

The previous prime is 413861551. The next prime is 413861573. The reversal of 413861568 is 865168314.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28798 + ... + 40706.

It is an arithmetic number, because the mean of its divisors is an integer number (19663410).

Almost surely, 2413861568 is an apocalyptic number.

413861568 is a gapful number since it is divisible by the number (48) 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 413861568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550575480).

413861568 is an abundant number, since it is smaller than the sum of its proper divisors (687289392).

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

413861568 is a wasteful number, since it uses less digits than its factorization.

413861568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12105 (or 12095 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 413861568 is about 20343.5878841467. The cubic root of 413861568 is about 745.2209113206.

The spelling of 413861568 in words is "four hundred thirteen million, eight hundred sixty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 181 192 362 543 724 1086 1448 2172 2896 4344 5792 8688 11584 11909 17376 23818 34752 35727 47636 71454 95272 142908 190544 285816 381088 571632 762176 1143264 2155529 2286528 4311058 6466587 8622116 12933174 17244232 25866348 34488464 51732696 68976928 103465392 137953856 206930784 413861568