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46216416 = 2534710243
BaseRepresentation
bin1011000001001…
…1010011100000
310012222001000010
42300103103200
543312411131
64330324520
71100555511
oct260232340
9105861003
1046216416
11240a7094
1213589740
1397621bc
1461d0a08
1540cdb46
hex2c134e0

46216416 has 48 divisors (see below), whose sum is σ = 123911424. Its totient is φ = 15076224.

The previous prime is 46216349. The next prime is 46216427. The reversal of 46216416 is 61461264.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a zygodrome in base 7.

It is a congruent number.

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, 610 + ... + 9633.

It is an arithmetic number, because the mean of its divisors is an integer number (2581488).

Almost surely, 246216416 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 46216416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61955712).

46216416 is an abundant number, since it is smaller than the sum of its proper divisors (77695008).

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

46216416 is a wasteful number, since it uses less digits than its factorization.

46216416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10303 (or 10295 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 46216416 is about 6798.2656611815. The cubic root of 46216416 is about 358.8658131916.

The spelling of 46216416 in words is "forty-six million, two hundred sixteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4512 10243 20486 30729 40972 61458 81944 122916 163888 245832 327776 481421 491664 962842 983328 1444263 1925684 2888526 3851368 5777052 7702736 11554104 15405472 23108208 46216416