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46089216 = 210331667
BaseRepresentation
bin1010111111010…
…0010000000000
310012201120112000
42233310100000
543244323331
64323504000
71066515615
oct257642000
9105646460
1046089216
112401a568
1213528000
139719334
14619a50c
1540a60e6
hex2bf4400

46089216 has 88 divisors (see below), whose sum is σ = 136575840. Its totient is φ = 15353856.

The previous prime is 46089191. The next prime is 46089247. The reversal of 46089216 is 61298064.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 26815 + ... + 28481.

Almost surely, 246089216 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 46089216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68287920).

46089216 is an abundant number, since it is smaller than the sum of its proper divisors (90486624).

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

46089216 is a wasteful number, since it uses less digits than its factorization.

46089216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1696 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 46089216 is about 6788.9038879631. The cubic root of 46089216 is about 358.5362789567.

It can be divided in two parts, 4608 and 9216, that added together give a cube (13824 = 243).

The spelling of 46089216 in words is "forty-six million, eighty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1667 1728 2304 3072 3334 3456 4608 5001 6668 6912 9216 10002 13336 13824 15003 20004 26672 27648 30006 40008 45009 53344 60012 80016 90018 106688 120024 160032 180036 213376 240048 320064 360072 426752 480096 640128 720144 853504 960192 1280256 1440288 1707008 1920384 2560512 2880576 3840768 5121024 5761152 7681536 11522304 15363072 23044608 46089216