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46161216 = 263280141
BaseRepresentation
bin1011000000010…
…1110101000000
310012212020021200
42300011311000
543304124331
64325221200
71100235543
oct260056500
9105766250
1046161216
1124069672
1213561800
13974303a
1461b885a
1540bc5e6
hex2c05d40

46161216 has 42 divisors (see below), whose sum is σ = 132314442. Its totient is φ = 15386880.

The previous prime is 46161211. The next prime is 46161259. The reversal of 46161216 is 61216164.

46161216 is a `hidden beast` number, since 46 + 1 + 612 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 37161216 + 9000000 = 6096^2 + 3000^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 46161216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46161211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 39495 + ... + 40646.

Almost surely, 246161216 is an apocalyptic number.

It is an amenable number.

46161216 is an abundant number, since it is smaller than the sum of its proper divisors (86153226).

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

46161216 is a wasteful number, since it uses less digits than its factorization.

46161216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80159 (or 80146 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 46161216 is about 6794.2045892069. The cubic root of 46161216 is about 358.7228821259.

It can be divided in two parts, 4616 and 1216, that added together give a cube (5832 = 183).

The spelling of 46161216 in words is "forty-six million, one hundred sixty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 80141 160282 240423 320564 480846 641128 721269 961692 1282256 1442538 1923384 2564512 2885076 3846768 5129024 5770152 7693536 11540304 15387072 23080608 46161216